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117025619616 = 253523962969
BaseRepresentation
bin110110011111101000…
…1010011111010100000
3102012001201100102200000
41230333101103322200
53404132024311431
6125432201100000
711312001232323
oct1547721237240
9365051312600
10117025619616
11456a2a03114
121a81b787600
13b05cc03089
1459422cc7ba
15309dcc29e6
hex1b3f453ea0

117025619616 has 144 divisors (see below), whose sum is σ = 346566729600. Its totient is φ = 38844707328.

The previous prime is 117025619587. The next prime is 117025619701. The reversal of 117025619616 is 616916520711.

117025619616 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 25 + 6 + 1 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1826980 + ... + 1889948.

It is an arithmetic number, because the mean of its divisors is an integer number (2406713400).

Almost surely, 2117025619616 is an apocalyptic number.

117025619616 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 117025619616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173283364800).

117025619616 is an abundant number, since it is smaller than the sum of its proper divisors (229541109984).

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

117025619616 is an equidigital number, since it uses as much as digits as its factorization.

117025619616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63233 (or 63213 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 117025619616 in words is "one hundred seventeen billion, twenty-five million, six hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 239 243 288 324 432 478 486 648 717 864 956 972 1296 1434 1912 1944 2151 2592 2868 3824 3888 4302 5736 6453 7648 7776 8604 11472 12906 17208 19359 22944 25812 34416 38718 51624 58077 62969 68832 77436 103248 116154 125938 154872 188907 206496 232308 251876 309744 377814 464616 503752 566721 619488 755628 929232 1007504 1133442 1511256 1700163 1858464 2015008 2266884 3022512 3400326 4533768 5100489 6045024 6800652 9067536 10200978 13601304 15049591 15301467 18135072 20401956 27202608 30099182 30602934 40803912 45148773 54405216 60198364 61205868 81607824 90297546 120396728 122411736 135446319 163215648 180595092 240793456 244823472 270892638 361190184 406338957 481586912 489646944 541785276 722380368 812677914 1083570552 1219016871 1444760736 1625355828 2167141104 2438033742 3250711656 3657050613 4334282208 4876067484 6501423312 7314101226 9752134968 13002846624 14628202452 19504269936 29256404904 39008539872 58512809808 117025619616