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117048075312 = 24372924474909
BaseRepresentation
bin110110100000010011…
…0111110010000110000
3102012010021121022002110
41231000212332100300
53404203301402222
6125434322245320
711312363136660
oct1550046762060
9365107538073
10117048075312
1145704650443
121a8271b6840
13b06476617c
1459452961a0
1530a0c5b30c
hex1b409be430

117048075312 has 160 divisors (see below), whose sum is σ = 357705676800. Its totient is φ = 32269353984.

The previous prime is 117048075299. The next prime is 117048075329. The reversal of 117048075312 is 213570840711.

It is a happy 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, 23841114 + ... + 23846022.

It is an arithmetic number, because the mean of its divisors is an integer number (2235660480).

Almost surely, 2117048075312 is an apocalyptic number.

117048075312 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 117048075312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178852838400).

117048075312 is an abundant number, since it is smaller than the sum of its proper divisors (240657601488).

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

117048075312 is a wasteful number, since it uses less digits than its factorization.

117048075312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 117048075312 in words is "one hundred seventeen billion, forty-eight million, seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 2447 3248 4872 4894 4909 7341 9744 9788 9818 14682 14727 17129 19576 19636 29364 29454 34258 34363 39152 39272 51387 58728 58908 68516 68726 70963 78544 102774 103089 117456 117816 137032 137452 141926 142361 205548 206178 212889 235632 274064 274904 283852 284722 411096 412356 425778 427083 496741 549808 567704 569444 822192 824712 851556 854166 993482 996527 1135408 1138888 1490223 1649424 1703112 1708332 1986964 1993054 2277776 2980446 2989581 3406224 3416664 3973928 3986108 5960892 5979162 6833328 7947856 7972216 11921784 11958324 12012323 15944432 23843568 23916648 24024646 36036969 47833296 48049292 72073938 84086261 96098584 144147876 168172522 192197168 252258783 288295752 336345044 348357367 504517566 576591504 672690088 696714734 1009035132 1045072101 1345380176 1393429468 2018070264 2090144202 2438501569 2786858936 4036140528 4180288404 4877003138 5573717872 7315504707 8360576808 9754006276 14631009414 16721153616 19508012552 29262018828 39016025104 58524037656 117048075312