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23242591872 = 273310166587
BaseRepresentation
bin10101101001010111…
…011100111010000000
32012222211001000002000
4111221113130322000
5340100100414442
614402201224000
71451654525343
oct255127347200
965884030060
1023242591872
119947923315
124607a92000
132265409956
1411a6bda45a
1591077dd4c
hex5695dce80

23242591872 has 128 divisors (see below), whose sum is σ = 69278155200. Its totient is φ = 7670707200.

The previous prime is 23242591861. The next prime is 23242591873. The reversal of 23242591872 is 27819524232.

23242591872 is a `hidden beast` number, since 2 + 324 + 259 + 1 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×232425918723 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23242591873) 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 15 ways as a sum of consecutive naturals, for example, 315763 + ... + 382349.

Almost surely, 223242591872 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 23242591872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34639077600).

23242591872 is an abundant number, since it is smaller than the sum of its proper divisors (46035563328).

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

23242591872 is a wasteful number, since it uses less digits than its factorization.

23242591872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66711 (or 66693 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 23242591872 in words is "twenty-three billion, two hundred forty-two million, five hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 288 303 384 404 432 576 606 808 864 909 1152 1212 1616 1728 1818 2424 2727 3232 3456 3636 4848 5454 6464 7272 9696 10908 12928 14544 19392 21816 29088 38784 43632 58176 66587 87264 116352 133174 174528 199761 266348 349056 399522 532696 599283 799044 1065392 1198566 1598088 1797849 2130784 2397132 3196176 3595698 4261568 4794264 6392352 6725287 7191396 8523136 9588528 12784704 13450574 14382792 19177056 20175861 25569408 26901148 28765584 38354112 40351722 53802296 57531168 60527583 76708224 80703444 107604592 115062336 121055166 161406888 181582749 215209184 230124672 242110332 322813776 363165498 430418368 484220664 645627552 726330996 860836736 968441328 1291255104 1452661992 1936882656 2582510208 2905323984 3873765312 5810647968 7747530624 11621295936 23242591872