Search a number
-
+
62161000434 = 232136126916189
BaseRepresentation
bin111001111001000101…
…011001011111110010
312221110002220000001100
4321321011121133302
52004301204003214
644320101545230
74330256533341
oct717105313762
9187402800040
1062161000434
11243a929a735
1210069715216
135b28385480
14301989bb58
15193c319309
hexe791597f2

62161000434 has 96 divisors (see below), whose sum is σ = 147977247600. Its totient is φ = 18741818880.

The previous prime is 62161000409. The next prime is 62161000487. The reversal of 62161000434 is 43400016126.

62161000434 is a `hidden beast` number, since 6 + 2 + 1 + 610 + 0 + 0 + 43 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12006225 + 62148994209 = 3465^2 + 249297^2 .

It is a junction number, because it is equal to n+sod(n) for n = 62161000398 and 62161000407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3831612 + ... + 3847800.

Almost surely, 262161000434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62161000434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73988623800).

62161000434 is an abundant number, since it is smaller than the sum of its proper divisors (85816247166).

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

62161000434 is a wasteful number, since it uses less digits than its factorization.

62161000434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16540 (or 16537 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 62161000434 in words is "sixty-two billion, one hundred sixty-one million, four hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 269 366 538 549 793 807 1098 1586 1614 2379 2421 3497 4758 4842 6994 7137 10491 14274 16189 16409 20982 31473 32378 32818 48567 49227 62946 97134 98454 145701 147681 210457 213317 291402 295362 420914 426634 631371 639951 987529 1262742 1279902 1894113 1919853 1975058 2962587 3788226 3839706 4354841 5925174 8709682 8887761 12837877 13064523 17775522 25675754 26129046 38513631 39193569 56612933 77027262 78387138 113225866 115540893 169838799 231081786 265645301 339677598 509516397 531290602 796935903 1019032794 1593871806 2390807709 3453388913 4781615418 6906777826 10360166739 20720333478 31080500217 62161000434