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13474390294260 = 22355717194328517
BaseRepresentation
bin1100010000010100000000…
…1111110011111011110100
31202201010202102112101200000
43010011000033303323310
53231231022403404020
644354014402551300
72560330644514650
oct304050017637364
952633672471600
1013474390294260
114325503054225
121617516068530
1376982518644c
14348241d0da60
15185776d0e090
hexc41403f3ef4

13474390294260 has 1152 divisors, whose sum is σ = 55247789076480. Its totient is φ = 2682172071936.

The previous prime is 13474390294223. The next prime is 13474390294327. The reversal of 13474390294260 is 6249209347431.

13474390294260 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 4 + 3 + 90 + 294 + 260 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13474390294197 and 13474390294206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 472489522 + ... + 472518038.

It is an arithmetic number, because the mean of its divisors is an integer number (47958150240).

Almost surely, 213474390294260 is an apocalyptic number.

13474390294260 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 13474390294260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623894538240).

13474390294260 is an abundant number, since it is smaller than the sum of its proper divisors (41773398782220).

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

13474390294260 is a wasteful number, since it uses less digits than its factorization.

13474390294260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28627 (or 28613 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 13474390294260 in words is "thirteen trillion, four hundred seventy-four billion, three hundred ninety million, two hundred ninety-four thousand, two hundred sixty".