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117968865456 = 24313283175211
BaseRepresentation
bin110110111011101111…
…1100000100010110000
3102021111110020021201010
41231313133200202300
53413100012143311
6130105534110520
711344243545231
oct1556737404260
9367443207633
10117968865456
1146037392732
121aa4364b440
13b18045b800
1459d16a5088
1531069e2da6
hex1b777e08b0

117968865456 has 120 divisors (see below), whose sum is σ = 333976499136. Its totient is φ = 35860581120.

The previous prime is 117968865437. The next prime is 117968865457. The reversal of 117968865456 is 654568869711.

It is not an unprimeable number, because it can be changed into a prime (117968865457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585691 + ... + 760901.

Almost surely, 2117968865456 is an apocalyptic number.

117968865456 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 117968865456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166988249568).

117968865456 is an abundant number, since it is smaller than the sum of its proper divisors (216007633680).

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

117968865456 is a wasteful number, since it uses less digits than its factorization.

117968865456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175331 (or 175312 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 66.

The spelling of 117968865456 in words is "one hundred seventeen billion, nine hundred sixty-eight million, eight hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 169 208 249 312 332 338 498 507 624 664 676 996 1014 1079 1328 1352 1992 2028 2158 2704 3237 3984 4056 4316 6474 8112 8632 12948 14027 17264 25896 28054 42081 51792 56108 84162 112216 168324 175211 224432 336648 350422 525633 673296 700844 1051266 1401688 2102532 2277743 2803376 4205064 4555486 6833229 8410128 9110972 13666458 14542513 18221944 27332916 29085026 29610659 36443888 43627539 54665832 58170052 59221318 87255078 88831977 109331664 116340104 118442636 174510156 177663954 189052669 232680208 236885272 349020312 355327908 378105338 473770544 567158007 698040624 710655816 756210676 1134316014 1421311632 1512421352 2268632028 2457684697 3024842704 4537264056 4915369394 7373054091 9074528112 9830738788 14746108182 19661477576 29492216364 39322955152 58984432728 117968865456