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117280918656 = 27341117241251
BaseRepresentation
bin110110100111001111…
…1001100110010000000
3102012201111201222010000
41231032133030302000
53410142403344111
6125513401040000
711321221234356
oct1551637146200
9365644658100
10117280918656
1145814026060
121a891186000
13b0a0a7c6b5
1459681877d6
1530b6401c56
hex1b4e7ccc80

117280918656 has 640 divisors, whose sum is σ = 406438845120. Its totient is φ = 33177600000.

The previous prime is 117280918637. The next prime is 117280918663. The reversal of 117280918656 is 656819082711.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 467254531 + ... + 467254781.

Almost surely, 2117280918656 is an apocalyptic number.

117280918656 is a gapful number since it is divisible by the number (16) 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 117280918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203219422560).

117280918656 is an abundant number, since it is smaller than the sum of its proper divisors (289157926464).

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

117280918656 is a wasteful number, since it uses less digits than its factorization.

117280918656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 117280918656 in words is "one hundred seventeen billion, two hundred eighty million, nine hundred eighteen thousand, six hundred fifty-six".