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41157859876 = 22724323372
BaseRepresentation
bin100110010101001100…
…110001101000100100
310221020100202220122121
4212111030301220210
51133242403004001
630524015435324
72654634015400
oct462514615044
9127210686577
1041157859876
11165005a2331
127b87825b44
133b5bc11053
141dc628c100
15110d49b6a1
hex995331a24

41157859876 has 81 divisors (see below), whose sum is σ = 86034754449. Its totient is φ = 17177747328.

The previous prime is 41157859859. The next prime is 41157859879. The reversal of 41157859876 is 67895875114.

The square root of 41157859876 is 202874.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11098622500 + 30059237376 = 105350^2 + 173376^2 .

It is not an unprimeable number, because it can be changed into a prime (41157859879) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122129980 + ... + 122130316.

Almost surely, 241157859876 is an apocalyptic number.

41157859876 is the 202874-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41157859876

41157859876 is an abundant number, since it is smaller than the sum of its proper divisors (44876894573).

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

41157859876 is an equidigital number, since it uses as much as digits as its factorization.

41157859876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 61.

The spelling of 41157859876 in words is "forty-one billion, one hundred fifty-seven million, eight hundred fifty-nine thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 337 602 674 1204 1348 1849 2107 2359 3698 4214 4718 7396 8428 9436 12943 14491 16513 25886 28982 33026 51772 57964 66052 90601 101437 113569 181202 202874 227138 362404 405748 454276 623113 710059 794983 1246226 1420118 1589966 2492452 2840236 3179932 4361791 4883467 5564881 8723582 9766934 11129762 17447164 19533868 22259524 30532537 34184269 61065074 68368538 122130148 136737076 209989081 239289883 419978162 478579766 839956324 957159532 1469923567 2939847134 5879694268 10289464969 20578929938 41157859876