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13696349940 = 223857133137
BaseRepresentation
bin11001100000101110…
…11011011011110100
31022100112002200000000
430300113123123310
5211022231144230
610143024151300
7663260024250
oct146027333364
938315080000
1013696349940
115899261479
1227a2a68530
1313a37338a0
1493d033260
15552652b60
hex3305db6f4

13696349940 has 864 divisors, whose sum is σ = 56291149824. Its totient is φ = 2720977920.

The previous prime is 13696349939. The next prime is 13696349951. The reversal of 13696349940 is 4994369631.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 370171602 + ... + 370171638.

Almost surely, 213696349940 is an apocalyptic number.

13696349940 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 13696349940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28145574912).

13696349940 is an abundant number, since it is smaller than the sum of its proper divisors (42594799884).

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

13696349940 is a wasteful number, since it uses less digits than its factorization.

13696349940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 13696349940 in words is "thirteen billion, six hundred ninety-six million, three hundred forty-nine thousand, nine hundred forty".