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117115219152 = 243221110913533
BaseRepresentation
bin110110100010010011…
…1000110110011010000
3102012021221221120010100
41231010213012303100
53404322444003102
6125445121332400
711314136636421
oct1550447066320
9365257846110
10117115219152
1145739540618
121a845797100
13b075644959
145950173648
1530a6ac0a1c
hex1b449c6cd0

117115219152 has 120 divisors (see below), whose sum is σ = 329708459808. Its totient is φ = 38806790400.

The previous prime is 117115219139. The next prime is 117115219211. The reversal of 117115219152 is 251912511711.

117115219152 is a `hidden beast` number, since 11 + 71 + 1 + 521 + 9 + 1 + 52 = 666.

117115219152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33147178 + ... + 33150710.

Almost surely, 2117115219152 is an apocalyptic number.

117115219152 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 117115219152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164854229904).

117115219152 is an abundant number, since it is smaller than the sum of its proper divisors (212593240656).

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

117115219152 is a wasteful number, since it uses less digits than its factorization.

117115219152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4840 counting only the distinct ones).

The product of its digits is 6300, while the sum is 36.

The spelling of 117115219152 in words is "one hundred seventeen billion, one hundred fifteen million, two hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1091 1266 1688 1899 2182 2532 3273 3376 3533 3798 4364 5064 6546 7066 7596 8728 9819 10128 10599 13092 14132 15192 17456 19638 21198 26184 28264 30384 31797 39276 42396 52368 56528 63594 78552 84792 127188 157104 169584 230201 254376 460402 508752 690603 745463 920804 1381206 1490926 1841608 2071809 2236389 2762412 2981852 3683216 3854503 4143618 4472778 5524824 5963704 6709167 7709006 8287236 8945556 11049648 11563509 11927408 13418334 15418012 16574472 17891112 23127018 26836668 30836024 33148944 34690527 35782224 46254036 53673336 61672048 69381054 92508072 107346672 138762108 185016144 277524216 555048432 813300133 1626600266 2439900399 3253200532 4879800798 6506401064 7319701197 9759601596 13012802128 14639402394 19519203192 29278804788 39038406384 58557609576 117115219152