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13342522600656 = 243367460977149
BaseRepresentation
bin1100001000101000110001…
…0100011110110011010000
31202020112101100012111002000
43002022030110132303100
53222100441241210111
644213245324354000
72544652101563514
oct302121424366320
952215340174060
1013342522600656
114284594195267
1215b5a539a5900
1375a26b37ca92
14341ad278a144
1518210a01ec56
hexc228c51ecd0

13342522600656 has 80 divisors (see below), whose sum is σ = 38869593288000. Its totient is φ = 4381126814592.

The previous prime is 13342522600651. The next prime is 13342522600657. The reversal of 13342522600656 is 65600622524331.

13342522600656 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 522 + 60 + 0 + 65 + 6 = 666.

It is a super-2 number, since 2×133425226006562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342522600651) 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, 230459631 + ... + 230517518.

It is an arithmetic number, because the mean of its divisors is an integer number (485869916100).

Almost surely, 213342522600656 is an apocalyptic number.

13342522600656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13342522600656 is an abundant number, since it is smaller than the sum of its proper divisors (25527070687344).

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

13342522600656 is a wasteful number, since it uses less digits than its factorization.

13342522600656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460977233 (or 460977221 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 13342522600656 in words is "thirteen trillion, three hundred forty-two billion, five hundred twenty-two million, six hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9648 14472 28944 460977149 921954298 1382931447 1843908596 2765862894 3687817192 4148794341 5531725788 7375634384 8297588682 11063451576 12446383023 16595177364 22126903152 24892766046 30885468983 33190354728 49785532092 61770937966 66380709456 92656406949 99571064184 123541875932 185312813898 199142128368 247083751864 277969220847 370625627796 494167503728 555938441694 741251255592 833907662541 1111876883388 1482502511184 1667815325082 2223753766776 3335630650164 4447507533552 6671261300328 13342522600656