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61941377952 = 25323715113847
BaseRepresentation
bin111001101011111111…
…100110101110100000
312220212210122000122100
4321223333212232200
52003323443043302
644242214410400
74321652011506
oct715377465640
9186783560570
1061941377952
11242a6325053
1210008060a00
135ac1a1a83c
142dd864c676
151927dd5d1c
hexe6bfe6ba0

61941377952 has 144 divisors (see below), whose sum is σ = 181073273472. Its totient is φ = 20070581760.

The previous prime is 61941377933. The next prime is 61941377957. The reversal of 61941377952 is 25977314916.

61941377952 is a `hidden beast` number, since 619 + 4 + 13 + 7 + 7 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (61941377957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16099293 + ... + 16103139.

It is an arithmetic number, because the mean of its divisors is an integer number (1257453288).

Almost surely, 261941377952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61941377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90536636736).

61941377952 is an abundant number, since it is smaller than the sum of its proper divisors (119131895520).

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

61941377952 is a wasteful number, since it uses less digits than its factorization.

61941377952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5400 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 61941377952 in words is "sixty-one billion, nine hundred forty-one million, three hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1511 1776 2664 3022 3552 3847 4533 5328 6044 7694 9066 10656 11541 12088 13599 15388 18132 23082 24176 27198 30776 34623 36264 46164 48352 54396 55907 61552 69246 72528 92328 108792 111814 123104 138492 142339 145056 167721 184656 217584 223628 276984 284678 335442 369312 427017 435168 447256 503163 553968 569356 670884 854034 894512 1006326 1107936 1138712 1281051 1341768 1708068 1789024 2012652 2277424 2562102 2683536 3416136 4025304 4554848 5124204 5367072 5812817 6832272 8050608 10248408 11625634 13664544 16101216 17438451 20496816 23251268 34876902 40993632 46502536 52315353 69753804 93005072 104630706 139507608 186010144 209261412 215074229 279015216 418522824 430148458 558030432 645222687 837045648 860296916 1290445374 1674091296 1720593832 1935668061 2580890748 3441187664 3871336122 5161781496 6882375328 7742672244 10323562992 15485344488 20647125984 30970688976 61941377952