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117608200960 = 285978391129
BaseRepresentation
bin110110110000111111…
…1101011101100000000
3102020120022120122000211
41231201333223230000
53411330144412320
6130010051523504
711332304133235
oct1554177535400
9366508518024
10117608200960
11459718440a8
121a9628b9594
13b123810473
14599981d78c
1530d4eee55a
hex1b61febb00

117608200960 has 144 divisors (see below), whose sum is σ = 285204225600. Its totient is φ = 46461616128.

The previous prime is 117608200949. The next prime is 117608200979. The reversal of 117608200960 is 69002806711.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 104169676 + ... + 104170804.

It is an arithmetic number, because the mean of its divisors is an integer number (1980584900).

Almost surely, 2117608200960 is an apocalyptic number.

117608200960 is a gapful number since it is divisible by the number (10) 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 117608200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142602112800).

117608200960 is an abundant number, since it is smaller than the sum of its proper divisors (167596024640).

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

117608200960 is an equidigital number, since it uses as much as digits as its factorization.

117608200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 117608200960 in words is "one hundred seventeen billion, six hundred eight million, two hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 839 970 1129 1280 1552 1678 1940 2258 3104 3356 3880 4195 4516 5645 6208 6712 7760 8390 9032 11290 12416 13424 15520 16780 18064 22580 24832 26848 31040 33560 36128 45160 53696 62080 67120 72256 81383 90320 107392 109513 124160 134240 144512 162766 180640 214784 219026 268480 289024 325532 361280 406915 438052 536960 547565 651064 722560 813830 876104 947231 1073920 1095130 1302128 1445120 1627660 1752208 1894462 2190260 2604256 3255320 3504416 3788924 4380520 4736155 5208512 6510640 7008832 7577848 8761040 9472310 10417024 13021280 14017664 15155696 17522080 18944620 20834048 26042560 28035328 30311392 35044160 37889240 52085120 60622784 70088320 75778480 91881407 104170240 121245568 140176640 151556960 183762814 242491136 303113920 367525628 459407035 606227840 735051256 918814070 1212455680 1470102512 1837628140 2940205024 3675256280 5880410048 7350512560 11760820096 14701025120 23521640192 29402050240 58804100480 117608200960