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259272043992 = 23351318156681
BaseRepresentation
bin1111000101110111010…
…0010110110111011000
3220210020010002111100000
43301131310112313120
513221442120401432
6315035151413000
724506001003663
oct3613564266730
9823203074300
10259272043992
119aa58345125
12422b9824160
131b5abccc460
14c7980006da
156b26d3157c
hex3c5dd16dd8

259272043992 has 192 divisors, whose sum is σ = 788564518560. Its totient is φ = 79333862400.

The previous prime is 259272043991. The next prime is 259272043993. The reversal of 259272043992 is 299340272952.

259272043992 is a `hidden beast` number, since 2 + 59 + 2 + 72 + 0 + 439 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (259272043991) and next prime (259272043993).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259272043991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4545892 + ... + 4602572.

Almost surely, 2259272043992 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 259272043992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394282259280).

259272043992 is an abundant number, since it is smaller than the sum of its proper divisors (529292474568).

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

259272043992 is a wasteful number, since it uses less digits than its factorization.

259272043992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56896 (or 56880 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 259272043992 in words is "two hundred fifty-nine billion, two hundred seventy-two million, forty-three thousand, nine hundred ninety-two".