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117418066992 = 2433978213413
BaseRepresentation
bin110110101011010101…
…0011000010000110000
3102020002001210211021000
41231112222120100300
53410433011120432
6125535140402000
711324505046632
oct1552652302060
9366061724230
10117418066992
114588448a696
121a90b0a6300
13b0c32cba65
14597c488a52
1530c349357c
hex1b56a98430

117418066992 has 160 divisors (see below), whose sum is σ = 341022548160. Its totient is φ = 38677340160.

The previous prime is 117418066951. The next prime is 117418067029. The reversal of 117418066992 is 299660814711.

117418066992 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1174180669922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 34401478 + ... + 34404890.

It is an arithmetic number, because the mean of its divisors is an integer number (2131390926).

Almost surely, 2117418066992 is an apocalyptic number.

117418066992 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 117418066992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170511274080).

117418066992 is an abundant number, since it is smaller than the sum of its proper divisors (223604481168).

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

117418066992 is a wasteful number, since it uses less digits than its factorization.

117418066992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 117418066992 in words is "one hundred seventeen billion, four hundred eighteen million, sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 582 776 821 873 1164 1552 1642 1746 2328 2463 2619 3284 3413 3492 4656 4926 5238 6568 6826 6984 7389 9852 10239 10476 13136 13652 13968 14778 19704 20478 20952 22167 27304 29556 30717 39408 40956 41904 44334 54608 59112 61434 79637 81912 88668 92151 118224 122868 159274 163824 177336 184302 238911 245736 318548 331061 354672 368604 477822 491472 637096 662122 716733 737208 955644 993183 1274192 1324244 1433466 1474416 1911288 1986366 2150199 2648488 2802073 2866932 2979549 3822576 3972732 4300398 5296976 5604146 5733864 5959098 7945464 8406219 8600796 8938647 11208292 11467728 11918196 15890928 16812438 17201592 17877294 22416584 23836392 25218657 33624876 34403184 35754588 44833168 47672784 50437314 67249752 71509176 75655971 100874628 134499504 143018352 151311942 201749256 271801081 302623884 403498512 543602162 605247768 815403243 1087204324 1210495536 1630806486 2174408648 2446209729 3261612972 4348817296 4892419458 6523225944 7338629187 9784838916 13046451888 14677258374 19569677832 29354516748 39139355664 58709033496 117418066992