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113687654976 = 2636722232
BaseRepresentation
bin110100111100001001…
…1111111001001000000
3101212110002101021000000
41221320103333021000
53330313014424401
6124121041000000
711133200060100
oct1517023771100
9355402337000
10113687654976
114423a798955
121a049923000
13a94a4ba77c
145706c6d200
152e55c21186
hex1a784ff240

113687654976 has 441 divisors, whose sum is σ = 395239475331. Its totient is φ = 32336527104.

The previous prime is 113687654959. The next prime is 113687654999. The reversal of 113687654976 is 679456786311.

The square root of 113687654976 is 337176.

It is a perfect power (a square), and thus also a powerful number.

113687654976 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 87 + 6 + 549 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (45722880) is a multiple of the sum of its prime factors (490).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 509810001 + ... + 509810223.

Almost surely, 2113687654976 is an apocalyptic number.

113687654976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113687654976 is the 337176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113687654976

113687654976 is an abundant number, since it is smaller than the sum of its proper divisors (281551820355).

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

113687654976 is an frugal number, since it uses more digits than its factorization.

113687654976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 235 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 113687654976 in words is "one hundred thirteen billion, six hundred eighty-seven million, six hundred fifty-four thousand, nine hundred seventy-six".