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1256427655252 = 2271137142977153
BaseRepresentation
bin10010010010001000111…
…011001001000001010100
311110010001121021222222221
4102102020323021001110
5131041130434432002
62401110033032124
7156526306600330
oct22221073110124
94403047258887
101256427655252
11444936724720
121836070b5644
1391632bc8723
1444b5078a7c0
1522a389e0c37
hex12488ec9054

1256427655252 has 96 divisors (see below), whose sum is σ = 2817392497920. Its totient is φ = 475947601920.

The previous prime is 1256427655187. The next prime is 1256427655267. The reversal of 1256427655252 is 2525567246521.

It is a super-2 number, since 2×12564276552522 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1256427655252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16246308 + ... + 16323460.

It is an arithmetic number, because the mean of its divisors is an integer number (29347838520).

Almost surely, 21256427655252 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 1256427655252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408696248960).

1256427655252 is an abundant number, since it is smaller than the sum of its proper divisors (1560964842668).

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

1256427655252 is a wasteful number, since it uses less digits than its factorization.

1256427655252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78641 (or 78639 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 52.

The spelling of 1256427655252 in words is "one trillion, two hundred fifty-six billion, four hundred twenty-seven million, six hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1429 1628 2849 2858 5698 5716 10003 11396 15719 20006 31438 40012 52873 62876 77153 105746 110033 154306 211492 220066 308612 370111 440132 540071 581603 740222 848683 1080142 1163206 1480444 1697366 2160284 2326412 2854661 3394732 4071221 5709322 5940781 8142442 11418644 11881562 16284884 19982627 23763124 31401271 39965254 62802542 79930508 110251637 125605084 219808897 220503274 439617794 441006548 771761459 879235588 1212768007 1543522918 2425536014 3087045836 4079310569 4851072028 8158621138 8489376049 16317242276 16978752098 28555173983 33957504196 44872416259 57110347966 89744832518 114220695932 179489665036 314106913813 628213827626 1256427655252