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117326776320 = 21137513231
BaseRepresentation
bin110110101000100111…
…0001000100000000000
3102012211201000210000000
41231101032020200000
53410241123320240
6125522120000000
711322316100235
oct1552116104000
9365751023000
10117326776320
11458379a7656
121a8a4600000
13b0aa417500
1459702c378c
1530ba45e430
hex1b51388800

117326776320 has 1152 divisors, whose sum is σ = 471932697600. Its totient is φ = 27948810240.

The previous prime is 117326776271. The next prime is 117326776327. The reversal of 117326776320 is 23677623711.

117326776320 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 2 + 6 + 7 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (117326776327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3784734705 + ... + 3784734735.

It is an arithmetic number, because the mean of its divisors is an integer number (409663800).

Almost surely, 2117326776320 is an apocalyptic number.

117326776320 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 117326776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235966348800).

117326776320 is an abundant number, since it is smaller than the sum of its proper divisors (354605921280).

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

117326776320 is an frugal number, since it uses more digits than its factorization.

117326776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 117326776320 in words is "one hundred seventeen billion, three hundred twenty-six million, seven hundred seventy-six thousand, three hundred twenty".