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117931778048 = 21372937019
BaseRepresentation
bin110110111010101001…
…0000010000000000000
3102021101212110001100102
41231311102002000000
53413011013344143
6130102131141532
711343313400540
oct1556522020000
9367355401312
10117931778048
1146018461387
121aa331448a8
13b1758748b6
1459ca7ad320
1531036190b8
hex1b75482000

117931778048 has 112 divisors (see below), whose sum is σ = 270500368320. Its totient is φ = 50362515456.

The previous prime is 117931778009. The next prime is 117931778087. The reversal of 117931778048 is 840877139711.

It is an interprime number because it is at equal distance from previous prime (117931778009) and next prime (117931778087).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 117931777984 and 117931778002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16798283 + ... + 16805301.

It is an arithmetic number, because the mean of its divisors is an integer number (2415181860).

Almost surely, 2117931778048 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 117931778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135250184160).

117931778048 is an abundant number, since it is smaller than the sum of its proper divisors (152568590272).

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

117931778048 is an frugal number, since it uses more digits than its factorization.

117931778048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 56.

The spelling of 117931778048 in words is "one hundred seventeen billion, nine hundred thirty-one million, seven hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 293 448 512 586 896 1024 1172 1792 2048 2051 2344 3584 4096 4102 4688 7019 7168 8192 8204 9376 14038 14336 16408 18752 28076 28672 32816 37504 49133 56152 57344 65632 75008 98266 112304 131264 150016 196532 224608 262528 300032 393064 449216 525056 600064 786128 898432 1050112 1200128 1572256 1796864 2056567 2100224 2400256 3144512 3593728 4113134 4200448 6289024 7187456 8226268 8400896 12578048 14374912 14395969 16452536 16801792 25156096 28749824 28791938 32905072 50312192 57499648 57583876 65810144 100624384 115167752 131620288 201248768 230335504 263240576 402497536 460671008 526481152 921342016 1052962304 1842684032 2105924608 3685368064 4211849216 7370736128 8423698432 14741472256 16847396864 29482944512 58965889024 117931778048