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13256321472 = 2632171353791
BaseRepresentation
bin11000101100010001…
…10110100111000000
31021012212002220102100
430112020312213000
5204122104241342
610031224550400
7646334605362
oct142610664700
937185086370
1013256321472
115692936589
12269b622400
131333518804
148da80cd32
15528bd3e4c
hex3162369c0

13256321472 has 84 divisors (see below), whose sum is σ = 40231990656. Its totient is φ = 4158842880.

The previous prime is 13256321467. The next prime is 13256321473. The reversal of 13256321472 is 27412365231.

13256321472 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 632 + 14 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13256321473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667104 + ... + 686687.

Almost surely, 213256321472 is an apocalyptic number.

13256321472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13256321472 is an abundant number, since it is smaller than the sum of its proper divisors (26975669184).

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

13256321472 is a wasteful number, since it uses less digits than its factorization.

13256321472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353826 (or 1353813 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

It can be divided in two parts, 1325632 and 1472, that added together give a square (1327104 = 11522).

The spelling of 13256321472 in words is "thirteen billion, two hundred fifty-six million, three hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 1353791 2707582 4061373 5415164 8122746 10830328 12184119 16245492 21660656 23014447 24368238 32490984 43321312 46028894 48736476 64981968 69043341 86642624 92057788 97472952 129963936 138086682 184115576 194945904 207130023 259927872 276173364 368231152 389891808 414260046 552346728 736462304 779783616 828520092 1104693456 1472924608 1657040184 2209386912 3314080368 4418773824 6628160736 13256321472