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23097985118208 = 2123372111341727
BaseRepresentation
bin1010100000001111010110…
…01100101011000000000000
310000210010221022000112011000
411100013223030223000000
511011414133142240313
6121043022354452000
74602526414031400
oct520075314530000
9100703838015130
1023097985118208
1173a5889488350
122710664594000
13cb7191068410
1459bd3c764800
152a0c719b2673
hex1501eb32b000

23097985118208 has 2496 divisors, whose sum is σ = 95931608048640. Its totient is φ = 5395474022400.

The previous prime is 23097985118207. The next prime is 23097985118281. The reversal of 23097985118208 is 80281158979032.

23097985118208 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 7 + 98 + 511 + 8 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (23097985118207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31771643541 + ... + 31771644267.

It is an arithmetic number, because the mean of its divisors is an integer number (38434137840).

Almost surely, 223097985118208 is an apocalyptic number.

23097985118208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23097985118208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47965804024320).

23097985118208 is an abundant number, since it is smaller than the sum of its proper divisors (72833622930432).

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

23097985118208 is a wasteful number, since it uses less digits than its factorization.

23097985118208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 23097985118208 in words is "twenty-three trillion, ninety-seven billion, nine hundred eighty-five million, one hundred eighteen thousand, two hundred eight".