Search a number
-
+
13474958031360 = 293457171941701
BaseRepresentation
bin1100010000010110001000…
…0101100011101000000000
31202201012012222211102120000
43010011202011203220000
53231233203224000420
644354151003320000
72560351010302110
oct304054205435000
952635188742500
1013474958031360
114325774576541
121617654220000
137698b5997067
14348297499040
151857abaa7690
hexc4162163a00

13474958031360 has 3200 divisors, whose sum is σ = 63065398556160. Its totient is φ = 2675441664000.

The previous prime is 13474958031349. The next prime is 13474958031433. The reversal of 13474958031360 is 6313085947431.

13474958031360 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 49 + 580 + 3 + 13 + 6 + 0 = 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 = 13474958031297 and 13474958031306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19222479010 + ... + 19222479710.

Almost surely, 213474958031360 is an apocalyptic number.

13474958031360 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 13474958031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31532699278080).

13474958031360 is an abundant number, since it is smaller than the sum of its proper divisors (49590440524800).

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

13474958031360 is a wasteful number, since it uses less digits than its factorization.

13474958031360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13474958031360 in words is "thirteen trillion, four hundred seventy-four billion, nine hundred fifty-eight million, thirty-one thousand, three hundred sixty".