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23152434912 = 2532179748751
BaseRepresentation
bin10101100011111111…
…100001111011100000
32012202112101112222100
4111203333201323200
5334404010404122
614345221010400
71446511310145
oct254377417340
965675345870
1023152434912
119900a45032
1245a1853a00
13224c831439
141198c4c3cc
159078c0aac
hex563fe1ee0

23152434912 has 144 divisors (see below), whose sum is σ = 70432794432. Its totient is φ = 7188480000.

The previous prime is 23152434889. The next prime is 23152434919. The reversal of 23152434912 is 21943425132.

It is a tau number, because it is divible by the number of its divisors (144).

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 (23152434919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450537 + ... + 499287.

It is an arithmetic number, because the mean of its divisors is an integer number (489116628).

Almost surely, 223152434912 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 23152434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35216397216).

23152434912 is an abundant number, since it is smaller than the sum of its proper divisors (47280359520).

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

23152434912 is a wasteful number, since it uses less digits than its factorization.

23152434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48881 (or 48870 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 23152434912 in words is "twenty-three billion, one hundred fifty-two million, four hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 97 102 136 144 153 194 204 272 288 291 306 388 408 544 582 612 776 816 873 1164 1224 1552 1632 1649 1746 2328 2448 3104 3298 3492 4656 4896 4947 6596 6984 9312 9894 13192 13968 14841 19788 26384 27936 29682 39576 48751 52768 59364 79152 97502 118728 146253 158304 195004 237456 292506 390008 438759 474912 585012 780016 828767 877518 1170024 1560032 1657534 1755036 2340048 2486301 3315068 3510072 4680096 4728847 4972602 6630136 7020144 7458903 9457694 9945204 13260272 14040288 14186541 14917806 18915388 19890408 26520544 28373082 29835612 37830776 39780816 42559623 56746164 59671224 75661552 79561632 80390399 85119246 113492328 119342448 151323104 160780798 170238492 226984656 238684896 241171197 321561596 340476984 453969312 482342394 643123192 680953968 723513591 964684788 1286246384 1361907936 1447027182 1929369576 2572492768 2894054364 3858739152 5788108728 7717478304 11576217456 23152434912