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13474806840 = 233751121967
BaseRepresentation
bin11001000110010100…
…10011110000111000
31021210002020010000000
430203022103300320
5210044022304330
610105031513000
7654626653065
oct144312236070
937702203000
1013474806840
1157951a4900
122740828760
1313698759b1
1491b843c6c
1553ce90560
hex323293c38

13474806840 has 768 divisors, whose sum is σ = 53395776000. Its totient is φ = 3048503040.

The previous prime is 13474806823. The next prime is 13474806869. The reversal of 13474806840 is 4860847431.

13474806840 is a `hidden beast` number, since 1 + 3 + 474 + 80 + 68 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201116487 + ... + 201116553.

It is an arithmetic number, because the mean of its divisors is an integer number (69525750).

Almost surely, 213474806840 is an apocalyptic number.

13474806840 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 13474806840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26697888000).

13474806840 is an abundant number, since it is smaller than the sum of its proper divisors (39920969160).

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

13474806840 is a wasteful number, since it uses less digits than its factorization.

13474806840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13474806840 in words is "thirteen billion, four hundred seventy-four million, eight hundred six thousand, eight hundred forty".