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13696422840 = 233651959419
BaseRepresentation
bin11001100000101111…
…01101001110111000
31022100112020101000000
430300113231032320
5211022241012330
610143025513000
7663260446632
oct146027551670
938315211000
1013696422840
115899301221
1227a2aa2760
1313a375ab19
1493d051a52
15552669560
hex3305ed3b8

13696422840 has 448 divisors, whose sum is σ = 49578480000. Its totient is φ = 3393384192.

The previous prime is 13696422829. The next prime is 13696422841. The reversal of 13696422840 is 4822469631.

13696422840 is a `hidden beast` number, since 1 + 369 + 6 + 4 + 2 + 284 + 0 = 666.

It is a super-2 number, since 2×136964228402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13696422841) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32688151 + ... + 32688569.

It is an arithmetic number, because the mean of its divisors is an integer number (110666250).

Almost surely, 213696422840 is an apocalyptic number.

13696422840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13696422840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24789240000).

13696422840 is an abundant number, since it is smaller than the sum of its proper divisors (35882057160).

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

13696422840 is a wasteful number, since it uses less digits than its factorization.

13696422840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13696422840 in words is "thirteen billion, six hundred ninety-six million, four hundred twenty-two thousand, eight hundred forty".