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23102153872 = 2472229128677
BaseRepresentation
bin10101100000111111…
…101110010010010000
32012122000210000100121
4111200333232102100
5334303122410442
614340223200024
71445331032200
oct254077562220
965560700317
1023102153872
119885622156
124588a46014
1322422a8145
1411922c0400
1590328c967
hex560fee490

23102153872 has 60 divisors (see below), whose sum is σ = 52296025980. Its totient is φ = 9857611008.

The previous prime is 23102153857. The next prime is 23102153873. The reversal of 23102153872 is 27835120132.

It can be written as a sum of positive squares in 2 ways, for example, as 20528012176 + 2574141696 = 143276^2 + 50736^2 .

It is not an unprimeable number, because it can be changed into a prime (23102153873) 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 11 ways as a sum of consecutive naturals, for example, 115198 + ... + 243874.

It is an arithmetic number, because the mean of its divisors is an integer number (871600433).

Almost surely, 223102153872 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 23102153872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26148012990).

23102153872 is an abundant number, since it is smaller than the sum of its proper divisors (29193872108).

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

23102153872 is a wasteful number, since it uses less digits than its factorization.

23102153872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128928 (or 128915 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 23102153872 in words is "twenty-three billion, one hundred two million, one hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 229 392 458 784 916 1603 1832 3206 3664 6412 11221 12824 22442 25648 44884 89768 128677 179536 257354 514708 900739 1029416 1801478 2058832 3602956 6305173 7205912 12610346 14411824 25220692 29467033 50441384 58934066 100882768 117868132 206269231 235736264 412538462 471472528 825076924 1443884617 1650153848 2887769234 3300307696 5775538468 11551076936 23102153872