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61129062192 = 243113137100937
BaseRepresentation
bin111000111011100100…
…110111011100110000
312211210012010002220110
4320323210313130300
52000143014442232
644025435541320
74262556312132
oct707344673460
9184705102813
1061129062192
1123a19842210
12ba1bbba840
1359c2645023
142d5c7d9052
1518cb929acc
hexe3b937730

61129062192 has 160 divisors (see below), whose sum is σ = 182638024704. Its totient is φ = 17441740800.

The previous prime is 61129062191. The next prime is 61129062227. The reversal of 61129062192 is 29126092116.

It is a self number, because there is not a number n which added to its sum of digits gives 61129062192.

It is not an unprimeable number, because it can be changed into a prime (61129062191) 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, 555148 + ... + 656084.

Almost surely, 261129062192 is an apocalyptic number.

61129062192 is a gapful number since it is divisible by the number (62) 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 61129062192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91319012352).

61129062192 is an abundant number, since it is smaller than the sum of its proper divisors (121508962512).

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

61129062192 is a wasteful number, since it uses less digits than its factorization.

61129062192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101027 (or 101021 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 61129062192 in words is "sixty-one billion, one hundred twenty-nine million, sixty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 37 44 48 62 66 74 88 93 111 124 132 148 176 186 222 248 264 296 341 372 407 444 496 528 592 682 744 814 888 1023 1147 1221 1364 1488 1628 1776 2046 2294 2442 2728 3256 3441 4092 4588 4884 5456 6512 6882 8184 9176 9768 12617 13764 16368 18352 19536 25234 27528 37851 50468 55056 75702 100936 100937 151404 201872 201874 302808 302811 403748 605616 605622 807496 1110307 1211244 1614992 2220614 2422488 3129047 3330921 3734669 4441228 4844976 6258094 6661842 7469338 8882456 9387141 11204007 12516188 13323684 14938676 17764912 18774282 22408014 25032376 26647368 29877352 34419517 37548564 41081359 44816028 50064752 53294736 59754704 68839034 75097128 82162718 89632056 103258551 115774739 123244077 137678068 150194256 164325436 179264112 206517102 231549478 246488154 275356136 328650872 347324217 413034204 463098956 492976308 550712272 657301744 694648434 826068408 926197912 985952616 1273522129 1389296868 1652136816 1852395824 1971905232 2547044258 2778593736 3820566387 5094088516 5557187472 7641132774 10188177032 15282265548 20376354064 30564531096 61129062192