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4625445264 = 2431186310151
BaseRepresentation
bin1000100111011001…
…01011000110010000
3102221100120222001120
410103230223012100
533433103222024
62042551202240
7222423431106
oct42354530620
912840528046
104625445264
111a63a41540
12a91076380
1358938907b
1431c441c76
151c111c479
hex113b2b190

4625445264 has 80 divisors (see below), whose sum is σ = 13051736064. Its totient is φ = 1399888000.

The previous prime is 4625445257. The next prime is 4625445269.

4625445264 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4625445269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450589 + ... + 460739.

Almost surely, 24625445264 is an apocalyptic number.

4625445264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4625445264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525868032).

4625445264 is an abundant number, since it is smaller than the sum of its proper divisors (8426290800).

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

4625445264 is a wasteful number, since it uses less digits than its factorization.

4625445264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11030 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The square root of 4625445264 is about 68010.6261109248. The cubic root of 4625445264 is about 1666.1643914381.

The spelling of 4625445264 in words is "four billion, six hundred twenty-five million, four hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 863 1726 2589 3452 5178 6904 9493 10151 10356 13808 18986 20302 20712 28479 30453 37972 40604 41424 56958 60906 75944 81208 111661 113916 121812 151888 162416 223322 227832 243624 334983 446644 455664 487248 669966 893288 1339932 1786576 2679864 5359728 8760313 17520626 26280939 35041252 52561878 70082504 96363443 105123756 140165008 192726886 210247512 289090329 385453772 420495024 578180658 770907544 1156361316 1541815088 2312722632 4625445264