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13657319148 = 22311421245759
BaseRepresentation
bin11001011100000101…
…00010011011101100
31022020210122200211010
430232002202123230
5210432233203043
610135111425220
7662304203664
oct145602423354
938223580733
1013657319148
115879223020
122791985210
131398619245
14937b931a4
1554dee3133
hex32e0a26ec

13657319148 has 48 divisors (see below), whose sum is σ = 34846801920. Its totient is φ = 4128734400.

The previous prime is 13657319119. The next prime is 13657319171. The reversal of 13657319148 is 84191375631.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13657319097 and 13657319106.

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, 67308 + ... + 178451.

It is an arithmetic number, because the mean of its divisors is an integer number (725975040).

Almost surely, 213657319148 is an apocalyptic number.

It is an amenable number.

13657319148 is an abundant number, since it is smaller than the sum of its proper divisors (21189482772).

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

13657319148 is a wasteful number, since it uses less digits than its factorization.

13657319148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246198 (or 246196 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 13657319148 in words is "thirteen billion, six hundred fifty-seven million, three hundred nineteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 421 842 1263 1684 2526 4631 5052 9262 13893 18524 27786 55572 245759 491518 737277 983036 1474554 2703349 2949108 5406698 8110047 10813396 16220094 32440188 103464539 206929078 310393617 413858156 620787234 1138109929 1241574468 2276219858 3414329787 4552439716 6828659574 13657319148