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117820677072 = 24372958720599
BaseRepresentation
bin110110110111010101…
…0001101101111010000
3102021010010101112110110
41231232222031233100
53412244043131242
6130043122001320
711340464142150
oct1555652155720
9367103345413
10117820677072
1145a7077859a
121aa01aa6240
13b158845387
1459b9b2c760
1530e89c039c
hex1b6ea8dbd0

117820677072 has 160 divisors (see below), whose sum is σ = 360476928000. Its totient is φ = 32445310464.

The previous prime is 117820677047. The next prime is 117820677097. The reversal of 117820677072 is 270776028711.

It is an interprime number because it is at equal distance from previous prime (117820677047) and next prime (117820677097).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5709429 + ... + 5730027.

It is an arithmetic number, because the mean of its divisors is an integer number (2252980800).

Almost surely, 2117820677072 is an apocalyptic number.

117820677072 is a gapful number since it is divisible by the number (12) 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 117820677072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180238464000).

117820677072 is an abundant number, since it is smaller than the sum of its proper divisors (242656250928).

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

117820677072 is a wasteful number, since it uses less digits than its factorization.

117820677072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21233 (or 21227 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 48.

The spelling of 117820677072 in words is "one hundred seventeen billion, eight hundred twenty million, six hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 587 609 696 812 1174 1218 1392 1624 1761 2348 2436 3248 3522 4109 4696 4872 7044 8218 9392 9744 12327 14088 16436 17023 20599 24654 28176 32872 34046 41198 49308 51069 61797 65744 68092 82396 98616 102138 119161 123594 136184 144193 164792 197232 204276 238322 247188 272368 288386 329584 357483 408552 432579 476644 494376 576772 597371 714966 817104 865158 953288 988752 1153544 1194742 1429932 1730316 1792113 1906576 2307088 2389484 2859864 3460632 3584226 4181597 4778968 5719728 6921264 7168452 8363194 9557936 12091613 12544791 14336904 16726388 24183226 25089582 28673808 33452776 36274839 48366452 50179164 66905552 72549678 84641291 96732904 100358328 145099356 169282582 193465808 200716656 253923873 290198712 338565164 350656777 507847746 580397424 677130328 701313554 1015695492 1051970331 1354260656 1402627108 2031390984 2103940662 2454597439 2805254216 4062781968 4207881324 4909194878 5610508432 7363792317 8415762648 9818389756 14727584634 16831525296 19636779512 29455169268 39273559024 58910338536 117820677072