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13132301534432 = 256125140166841
BaseRepresentation
bin1011111100011001101000…
…1010110000010011100000
31201111102202200011211121022
42333012122022300103200
53210124423143100212
643532521313345012
72523530450160563
oct277063212602340
951442680154538
1013132301534432
1142034179487a3
121581165268168
137434a8621632
1433586d03c4da
1517b9045c1772
hexbf19a2b04e0

13132301534432 has 96 divisors (see below), whose sum is σ = 26448939847008. Its totient is φ = 6416640000000.

The previous prime is 13132301534399. The next prime is 13132301534461. The reversal of 13132301534432 is 23443510323131.

It is a junction number, because it is equal to n+sod(n) for n = 13132301534392 and 13132301534401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196437332 + ... + 196504172.

It is an arithmetic number, because the mean of its divisors is an integer number (275509790073).

Almost surely, 213132301534432 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 13132301534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224469923504).

13132301534432 is an abundant number, since it is smaller than the sum of its proper divisors (13316638312576).

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

13132301534432 is a wasteful number, since it uses less digits than its factorization.

13132301534432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67564 (or 67556 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 13132301534432 its reverse (23443510323131), we get a palindrome (36575811857563).

The spelling of 13132301534432 in words is "thirteen trillion, one hundred thirty-two billion, three hundred one million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 251 401 488 502 802 976 1004 1604 1952 2008 3208 4016 6416 8032 12832 15311 24461 30622 48922 61244 66841 97844 100651 122488 133682 195688 201302 244976 267364 391376 402604 489952 534728 782752 805208 1069456 1610416 2138912 3220832 4077301 6139711 8154602 12279422 16309204 16777091 24558844 26803241 32618408 33554182 49117688 53606482 65236816 67108364 98235376 107212964 130473632 134216728 196470752 214425928 268433456 428851856 536866912 857703712 1023402551 1634997701 2046805102 3269995402 4093610204 6539990804 6727613491 8187220408 13079981608 13455226982 16374440816 26159963216 26910453964 32748881632 52319926432 53820907928 107641815856 215283631712 410384422951 820768845902 1641537691804 3283075383608 6566150767216 13132301534432