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23057813016 = 2332767767577
BaseRepresentation
bin10101011110010110…
…100100111000011000
32012111221100021010200
4111132112210320120
5334210300004031
614332000542200
71444252114440
oct253626447030
965457307120
1023057813016
119862597217
124576021960
132236051854
14118a45b120
158ee42e8e6
hex55e5a4e18

23057813016 has 96 divisors (see below), whose sum is σ = 71475899040. Its totient is φ = 6578118144.

The previous prime is 23057813011. The next prime is 23057813017. The reversal of 23057813016 is 61031875032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23057813011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307420 + ... + 374996.

It is an arithmetic number, because the mean of its divisors is an integer number (744540615).

Almost surely, 223057813016 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 23057813016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35737949520).

23057813016 is an abundant number, since it is smaller than the sum of its proper divisors (48418086024).

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

23057813016 is a wasteful number, since it uses less digits than its factorization.

23057813016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68273 (or 68266 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 23057813016 in words is "twenty-three billion, fifty-seven million, eight hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 677 1354 2031 2708 4062 4739 5416 6093 8124 9478 12186 14217 16248 18956 24372 28434 37912 42651 48744 56868 67577 85302 113736 135154 170604 202731 270308 341208 405462 473039 540616 608193 810924 946078 1216386 1419117 1621848 1892156 2432772 2838234 3784312 4257351 4865544 5676468 8514702 11352936 17029404 34058808 45749629 91499258 137248887 182998516 274497774 320247403 365997032 411746661 548995548 640494806 823493322 960742209 1097991096 1280989612 1646986644 1921484418 2561979224 2882226627 3293973288 3842968836 5764453254 7685937672 11528906508 23057813016