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13474053191808 = 2733111759973643
BaseRepresentation
bin1100010000010010110000…
…1001110111100010000000
31202201002212221012211001000
43010010230021313202000
53231224330104114213
644353521121412000
72560316412265656
oct304045411674200
952632787184030
1013474053191808
11432534a839160
12161744119a000
137697a0397941
1434820d23cdd6
15185757421c73
hexc412c277880

13474053191808 has 1024 divisors, whose sum is σ = 47207349504000. Its totient is φ = 3737761873920.

The previous prime is 13474053191803. The next prime is 13474053191831. The reversal of 13474053191808 is 80819135047431.

13474053191808 is a `hidden beast` number, since 1 + 3 + 47 + 405 + 3 + 19 + 180 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13474053191803) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3698612835 + ... + 3698616477.

It is an arithmetic number, because the mean of its divisors is an integer number (46100927250).

Almost surely, 213474053191808 is an apocalyptic number.

13474053191808 is a gapful number since it is divisible by the number (18) 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 13474053191808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23603674752000).

13474053191808 is an abundant number, since it is smaller than the sum of its proper divisors (33733296312192).

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

13474053191808 is a wasteful number, since it uses less digits than its factorization.

13474053191808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13474053191808 in words is "thirteen trillion, four hundred seventy-four billion, fifty-three million, one hundred ninety-one thousand, eight hundred eight".