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1252881321888 = 253713991332671
BaseRepresentation
bin10010001110110101100…
…010111100111110100000
311102202220110020121011210
4102032311202330332200
5131011400104300023
62355322110510120
7156342365344110
oct22166542747640
94382813217153
101252881321888
114433869309a9
12182997505340
13911b9288911
14448d57ab040
15228cc4d0593
hex123b58bcfa0

1252881321888 has 96 divisors (see below), whose sum is σ = 3761333452800. Its totient is φ = 357709950720.

The previous prime is 1252881321869. The next prime is 1252881321889. The reversal of 1252881321888 is 8881231882521.

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

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1252881321889) 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, 273793 + ... + 1606463.

It is an arithmetic number, because the mean of its divisors is an integer number (39180556800).

Almost surely, 21252881321888 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 1252881321888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880666726400).

1252881321888 is an abundant number, since it is smaller than the sum of its proper divisors (2508452130912).

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

1252881321888 is a wasteful number, since it uses less digits than its factorization.

1252881321888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334090 (or 1334082 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 57.

The spelling of 1252881321888 in words is "one trillion, two hundred fifty-two billion, eight hundred eighty-one million, three hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1399 2798 4197 5596 8394 9793 11192 16788 19586 22384 29379 33576 39172 44768 58758 67152 78344 117516 134304 156688 235032 313376 470064 940128 1332671 2665342 3998013 5330684 7996026 9328697 10661368 15992052 18657394 21322736 27986091 31984104 37314788 42645472 55972182 63968208 74629576 111944364 127936416 149259152 223888728 298518304 447777456 895554912 1864406729 3728813458 5593220187 7457626916 11186440374 13050847103 14915253832 22372880748 26101694206 29830507664 39152541309 44745761496 52203388412 59661015328 78305082618 89491522992 104406776824 156610165236 178983045984 208813553648 313220330472 417627107296 626440660944 1252881321888