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4628159712 = 2532114613169
BaseRepresentation
bin1000100111101110…
…00001110011100000
3102221112200212120200
410103313001303200
533434302102322
62043125305200
7222455465001
oct42367016340
912845625520
104628159712
111a65525990
12a91b65200
13589ac9757
1431c94b1a8
151c14a68ac
hex113dc1ce0

4628159712 has 144 divisors (see below), whose sum is σ = 14393499120. Its totient is φ = 1398988800.

The previous prime is 4628159699. The next prime is 4628159719. The reversal of 4628159712 is 2179518264.

4628159712 is a `hidden beast` number, since 4 + 628 + 1 + 5 + 9 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628159719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458864 + ... + 1462032.

It is an arithmetic number, because the mean of its divisors is an integer number (99954855).

Almost surely, 24628159712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628159712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196749560).

4628159712 is an abundant number, since it is smaller than the sum of its proper divisors (9765339408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4628159712 is a wasteful number, since it uses less digits than its factorization.

4628159712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3646 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 4628159712 is about 68030.5792419850. The cubic root of 4628159712 is about 1666.4902578797.

The spelling of 4628159712 in words is "four billion, six hundred twenty-eight million, one hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 461 528 792 922 1056 1383 1584 1844 2766 3168 3169 3688 4149 5071 5532 6338 7376 8298 9507 10142 11064 12676 14752 15213 16596 19014 20284 22128 25352 28521 30426 33192 34859 38028 40568 44256 45639 50704 57042 60852 66384 69718 76056 81136 91278 101408 104577 114084 121704 132768 139436 152112 162272 182556 209154 228168 243408 278872 304224 313731 365112 418308 456336 486816 557744 627462 730224 836616 912672 1115488 1254924 1460448 1460909 1673232 2509848 2921818 3346464 4382727 5019696 5843636 8765454 10039392 11687272 13148181 16069999 17530908 23374544 26296362 32139998 35061816 46749088 48209997 52592724 64279996 70123632 96419994 105185448 128559992 140247264 144629991 192839988 210370896 257119984 289259982 385679976 420741792 514239968 578519964 771359952 1157039928 1542719904 2314079856 4628159712