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23454314912 = 257243541643
BaseRepresentation
bin10101110101111111…
…000111000110100000
32020112120102122111002
4111311333013012200
5341013301034122
614435203211132
71460135246600
oct256577070640
966476378432
1023454314912
119a46392a36
124666976aa8
13229a239b62
1411c6d90c00
15924151992
hex575fc71a0

23454314912 has 144 divisors (see below), whose sum is σ = 55150980192. Its totient is φ = 9784696320.

The previous prime is 23454314861. The next prime is 23454314927. The reversal of 23454314912 is 21941345432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36476063 + ... + 36476705.

It is an arithmetic number, because the mean of its divisors is an integer number (382992918).

Almost surely, 223454314912 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 23454314912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27575490096).

23454314912 is an abundant number, since it is smaller than the sum of its proper divisors (31696665280).

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

23454314912 is a wasteful number, since it uses less digits than its factorization.

23454314912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1236 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The spelling of 23454314912 in words is "twenty-three billion, four hundred fifty-four million, three hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 344 392 541 602 643 688 784 1082 1204 1286 1376 1568 2107 2164 2408 2572 3787 4214 4328 4501 4816 5144 7574 8428 8656 9002 9632 10288 15148 16856 17312 18004 20576 23263 26509 27649 30296 31507 33712 36008 46526 53018 55298 60592 63014 67424 72016 93052 106036 110596 121184 126028 144032 162841 186104 193543 212072 221192 252056 325682 347863 372208 387086 424144 442384 504112 651364 695726 744416 774172 848288 884768 1008224 1139887 1302728 1354801 1391452 1548344 2279774 2435041 2605456 2709602 2782904 3096688 4559548 4870082 5210912 5419204 5565808 6193376 9119096 9740164 10838408 11131616 14958109 17045287 18238192 19480328 21676816 29916218 34090574 36476384 38960656 43353632 59832436 68181148 77921312 104706763 119664872 136362296 209413526 239329744 272724592 418827052 478659488 545449184 732947341 837654104 1465894682 1675308208 2931789364 3350616416 5863578728 11727157456 23454314912