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117225580192 = 257977577127
BaseRepresentation
bin110110100101100110…
…0000110011010100000
3102012120122121111000021
41231023030012122200
53410034222031232
6125504103003224
711316646663630
oct1551314063240
9365518544007
10117225580192
1145795869496
121a876739514
13b092475446
145960aa06c0
1530b1620397
hex1b4b3066a0

117225580192 has 96 divisors (see below), whose sum is σ = 266866161408. Its totient is φ = 49648951296.

The previous prime is 117225580189. The next prime is 117225580217. The reversal of 117225580192 is 291085522711.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16444533 + ... + 16451659.

It is an arithmetic number, because the mean of its divisors is an integer number (2779855848).

Almost surely, 2117225580192 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 117225580192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133433080704).

117225580192 is an abundant number, since it is smaller than the sum of its proper divisors (149640581216).

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

117225580192 is an equidigital number, since it uses as much as digits as its factorization.

117225580192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 43.

The spelling of 117225580192 in words is "one hundred seventeen billion, two hundred twenty-five million, five hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 757 776 1358 1514 1552 2716 3028 3104 5299 5432 6056 7127 10598 10864 12112 14254 21196 21728 24224 28508 42392 49889 57016 73429 84784 99778 114032 146858 169568 199556 228064 293716 399112 514003 587432 691319 798224 1028006 1174864 1382638 1596448 2056012 2349728 2765276 4112024 4839233 5395139 5530552 8224048 9678466 10790278 11061104 16448096 19356932 21580556 22122208 37765973 38713864 43161112 75531946 77427728 86322224 151063892 154855456 172644448 302127784 523328483 604255568 1046656966 1208511136 2093313932 3663299381 4186627864 7326598762 8373255728 14653197524 16746511456 29306395048 58612790096 117225580192