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4625885264 = 2471113367787
BaseRepresentation
bin1000100111011100…
…10110100001010000
3102221101102022121212
410103232112201100
533433211312024
62043004435252
7222430242650
oct42356264120
912841368555
104625885264
111a64212080
12a91248b28
135894b1420
1431c518360
151c11a7a0e
hex113b96850

4625885264 has 160 divisors (see below), whose sum is σ = 12081893376. Its totient is φ = 1657013760.

The previous prime is 4625885239. The next prime is 4625885267.

4625885264 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4625885267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5877479 + ... + 5878265.

Almost surely, 24625885264 is an apocalyptic number.

4625885264 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 4625885264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040946688).

4625885264 is an abundant number, since it is smaller than the sum of its proper divisors (7456008112).

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

4625885264 is a wasteful number, since it uses less digits than its factorization.

4625885264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1187 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The square root of 4625885264 is about 68013.8608226294. The cubic root of 4625885264 is about 1666.2172216015.

The spelling of 4625885264 in words is "four billion, six hundred twenty-five million, eight hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 367 572 616 728 734 787 1001 1144 1232 1456 1468 1574 2002 2288 2569 2936 3148 4004 4037 4771 5138 5509 5872 6296 8008 8074 8657 9542 10231 10276 11018 12592 16016 16148 17314 19084 20462 20552 22036 28259 32296 33397 34628 38168 40924 41104 44072 52481 56518 60599 64592 66794 69256 71617 76336 81848 88144 104962 112541 113036 121198 133588 138512 143234 163696 209924 225082 226072 242396 267176 286468 288829 367367 419848 450164 452144 484792 534352 572936 577658 734734 787787 839696 900328 969584 1145872 1155316 1469468 1575574 1800656 2021803 2310632 2938936 3151148 3177119 3754777 4043606 4621264 5877872 6302296 6354238 7509554 8087212 12604592 12708476 15019108 16174424 22239833 25416952 26283439 30038216 32348848 41302547 44479666 50833904 52566878 60076432 82605094 88959332 105133756 165210188 177918664 210267512 289117829 330420376 355837328 420535024 578235658 660840752 1156471316 2312942632 4625885264