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117734093824 = 2104110392699
BaseRepresentation
bin110110110100101111…
…1111011010000000000
3102020220002110122120111
41231221133323100000
53412104412000244
6130030350121104
711335363166644
oct1555137732000
9366802418514
10117734093824
1145a26910296
121a998ab0194
13b14391b699
1459ac430c24
1530e10bae34
hex1b697fb400

117734093824 has 88 divisors (see below), whose sum is σ = 241414992000. Its totient is φ = 57354731520.

The previous prime is 117734093803. The next prime is 117734093899. The reversal of 117734093824 is 428390437711.

117734093824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1177340938242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43620027 + ... + 43622725.

Almost surely, 2117734093824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117734093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120707496000).

117734093824 is an abundant number, since it is smaller than the sum of its proper divisors (123680898176).

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

117734093824 is a wasteful number, since it uses less digits than its factorization.

117734093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 117734093824 in words is "one hundred seventeen billion, seven hundred thirty-four million, ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1039 1312 2078 2624 2699 4156 5248 5398 8312 10496 10796 16624 20992 21592 33248 41984 42599 43184 66496 85198 86368 110659 132992 170396 172736 221318 265984 340792 345472 442636 531968 681584 690944 885272 1063936 1363168 1381888 1770544 2726336 2763776 2804261 3541088 5452672 5608522 7082176 10905344 11217044 14164352 21810688 22434088 28328704 43621376 44868176 56657408 89736352 113314816 114974701 179472704 229949402 358945408 459898804 717890816 919797608 1435781632 1839595216 2871563264 3679190432 7358380864 14716761728 29433523456 58867046912 117734093824