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4634774364 = 2231137948971
BaseRepresentation
bin1000101000100000…
…10000101101011100
3102222000010221011210
410110100100231130
533443000234424
62043523144420
7222565634463
oct42420205534
912860127153
104634774364
111a69233640
12a94215110
1358b2a444c
1431d78d9da
151c1d61729
hex114410b5c

4634774364 has 48 divisors (see below), whose sum is σ = 12116474496. Its totient is φ = 1366516800.

The previous prime is 4634774351. The next prime is 4634774377.

4634774364 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4634774351) and next prime (4634774377).

It is a super-2 number, since 2×46347743642 = 42962266810383208992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469602 + ... + 479369.

It is an arithmetic number, because the mean of its divisors is an integer number (252426552).

Almost surely, 24634774364 is an apocalyptic number.

4634774364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4634774364 is an abundant number, since it is smaller than the sum of its proper divisors (7481700132).

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

4634774364 is a wasteful number, since it uses less digits than its factorization.

4634774364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949026 (or 949024 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The square root of 4634774364 is about 68079.1771689406. The cubic root of 4634774364 is about 1667.2838062461.

The spelling of 4634774364 in words is "four billion, six hundred thirty-four million, seven hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 948971 1897942 2846913 3795884 5693826 10438681 11387652 20877362 31316043 35111927 41754724 62632086 70223854 105335781 125264172 140447708 210671562 386231197 421343124 772462394 1158693591 1544924788 2317387182 4634774364