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117112832472 = 233191519111867
BaseRepresentation
bin110110100010001111…
…0000000000111011000
3102012021210110022012210
41231010132000013120
53404321341114342
6125444554235120
711314110436236
oct1550436000730
9365253408183
10117112832472
1145738160459
121a844a25aa0
13b074cba50c
14594db11956
1530a679d79c
hex1b447801d8

117112832472 has 128 divisors (see below), whose sum is σ = 310739558400. Its totient is φ = 36678096000.

The previous prime is 117112832461. The next prime is 117112832477. The reversal of 117112832472 is 274238211711.

It is a happy number.

117112832472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1171128324722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 117112832472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117112832477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62726883 + ... + 62728749.

It is an arithmetic number, because the mean of its divisors is an integer number (2427652800).

Almost surely, 2117112832472 is an apocalyptic number.

117112832472 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 117112832472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155369779200).

117112832472 is an abundant number, since it is smaller than the sum of its proper divisors (193626725928).

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

117112832472 is a wasteful number, since it uses less digits than its factorization.

117112832472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2953 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The spelling of 117112832472 in words is "one hundred seventeen billion, one hundred twelve million, eight hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 151 152 228 302 453 456 604 906 911 1208 1812 1822 1867 2733 2869 3624 3644 3734 5466 5601 5738 7288 7468 8607 10932 11202 11476 14936 17214 17309 21864 22404 22952 34428 34618 35473 44808 51927 68856 69236 70946 103854 106419 137561 138472 141892 207708 212838 275122 281917 283784 412683 415416 425676 550244 563834 825366 845751 851352 1100488 1127668 1650732 1691502 1700837 2255336 2613659 3301464 3383004 3401674 5102511 5227318 5356423 6766008 6803348 7840977 10205022 10454636 10712846 13606696 15681954 16069269 20410044 20909272 21425692 31363908 32138538 32315903 40820088 42851384 62727816 64277076 64631806 96947709 128554152 129263612 193895418 256826387 258527224 387790836 513652774 770479161 775581672 1027305548 1540958322 2054611096 3081916644 4879701353 6163833288 9759402706 14639104059 19518805412 29278208118 39037610824 58556416236 117112832472