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13535402112 = 273223510847
BaseRepresentation
bin11001001101100010…
…11101100010000000
31021221022020200002100
430212301131202000
5210210030331422
610115034350400
7656264006511
oct144661354200
937838220070
1013535402112
115816421a41
122758b8b400
1313792a089b
149258d8a08
1554345e7ac
hex326c5d880

13535402112 has 96 divisors (see below), whose sum is σ = 40643066880. Its totient is φ = 4315627008.

The previous prime is 13535402107. The next prime is 13535402141. The reversal of 13535402112 is 21120453531.

13535402112 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 540 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×135354021122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228928 + ... + 281919.

It is an arithmetic number, because the mean of its divisors is an integer number (423365280).

Almost surely, 213535402112 is an apocalyptic number.

13535402112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13535402112 is an abundant number, since it is smaller than the sum of its proper divisors (27107664768).

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

13535402112 is a wasteful number, since it uses less digits than its factorization.

13535402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510890 (or 510875 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13535402112 its reverse (21120453531), we get a palindrome (34655855643).

The spelling of 13535402112 in words is "thirteen billion, five hundred thirty-five million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 510847 1021694 1532541 2043388 3065082 4086776 4597623 6130164 8173552 9195246 11749481 12260328 16347104 18390492 23498962 24520656 32694208 35248443 36780984 46997924 49041312 65388416 70496886 73561968 93995848 98082624 105745329 140993772 147123936 187991696 196165248 211490658 281987544 294247872 375983392 422981316 563975088 588495744 751966784 845962632 1127950176 1503933568 1691925264 2255900352 3383850528 4511800704 6767701056 13535402112