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23298086112 = 253742182351
BaseRepresentation
bin10101101100101011…
…001001010011100000
32020010200110101212020
4111230223021103200
5340203302223422
614411502501440
71453230315210
oct255453112340
966120411766
1023298086112
119976186a24
124622594880
132273a69a92
1411b0324240
1591559195c
hex56cac94e0

23298086112 has 96 divisors (see below), whose sum is σ = 70061128704. Its totient is φ = 6640704000.

The previous prime is 23298086107. The next prime is 23298086117. The reversal of 23298086112 is 21168089232.

It is an interprime number because it is at equal distance from previous prime (23298086107) and next prime (23298086117).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23298086117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241737 + ... + 324087.

It is an arithmetic number, because the mean of its divisors is an integer number (729803424).

Almost surely, 223298086112 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 23298086112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35030564352).

23298086112 is an abundant number, since it is smaller than the sum of its proper divisors (46763042592).

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

23298086112 is a wasteful number, since it uses less digits than its factorization.

23298086112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82792 (or 82784 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 23298086112 in words is "twenty-three billion, two hundred ninety-eight million, eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 421 672 842 1263 1684 2526 2947 3368 5052 5894 6736 8841 10104 11788 13472 17682 20208 23576 35364 40416 47152 70728 82351 94304 141456 164702 247053 282912 329404 494106 576457 658808 988212 1152914 1317616 1729371 1976424 2305828 2635232 3458742 3952848 4611656 6917484 7905696 9223312 13834968 18446624 27669936 34669771 55339872 69339542 104009313 138679084 208018626 242688397 277358168 416037252 485376794 554716336 728065191 832074504 970753588 1109432672 1456130382 1664149008 1941507176 2912260764 3328298016 3883014352 5824521528 7766028704 11649043056 23298086112