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116279636004 = 2232722323532
BaseRepresentation
bin110110001001011001…
…1100111000000100100
3102010010201122112112100
41230102303213000210
53401120041323004
6125230152052100
711254342412100
oct1542263470044
9363121575470
10116279636004
114534a906634
121a651994030
13ac714b375c
1458b11c4900
15305856a739
hex1b12ce7024

116279636004 has 243 divisors, whose sum is σ = 358445243793. Its totient is φ = 31688262144.

The previous prime is 116279635939. The next prime is 116279636029. The reversal of 116279636004 is 400636972611.

The square root of 116279636004 is 340998.

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

116279636004 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 7 + 9 + 636 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47241022500 + 69038613504 = 217350^2 + 262752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 329403892 + ... + 329404244.

Almost surely, 2116279636004 is an apocalyptic number.

116279636004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

116279636004 is the 340998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116279636004

116279636004 is an abundant number, since it is smaller than the sum of its proper divisors (242165607789).

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

116279636004 is a wasteful number, since it uses less digits than its factorization.

116279636004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 116279636004 in words is "one hundred sixteen billion, two hundred seventy-nine million, six hundred thirty-six thousand, four".