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41135669256 = 233111930726713
BaseRepresentation
bin100110010011111000…
…001000000000001000
310221011211000111211210
4212103320020000020
51133221212404011
630521504053120
72654244263613
oct462370100010
9127154014753
1041135669256
111649a016180
127b803041a0
133b574417c6
141dc335317a
15110b5666a6
hex993e08008

41135669256 has 128 divisors (see below), whose sum is σ = 118481932800. Its totient is φ = 11770375680.

The previous prime is 41135669227. The next prime is 41135669261. The reversal of 41135669256 is 65296653114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526556 + ... + 1553268.

It is an arithmetic number, because the mean of its divisors is an integer number (925640100).

Almost surely, 241135669256 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 41135669256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59240966400).

41135669256 is an abundant number, since it is smaller than the sum of its proper divisors (77346263544).

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

41135669256 is a wasteful number, since it uses less digits than its factorization.

41135669256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27059 (or 27055 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The spelling of 41135669256 in words is "forty-one billion, one hundred thirty-five million, six hundred sixty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 307 418 456 614 627 836 921 1228 1254 1672 1842 2456 2508 3377 3684 5016 5833 6754 7368 10131 11666 13508 17499 20262 23332 26713 27016 34998 40524 46664 53426 64163 69996 80139 81048 106852 128326 139992 160278 192489 213704 256652 293843 320556 384978 507547 513304 587686 641112 769956 881529 1015094 1175372 1522641 1539912 1763058 2030188 2350744 3045282 3526116 4060376 5583017 6090564 7052232 8200891 11166034 12181128 16401782 16749051 22332068 24602673 32803564 33498102 44664136 49205346 65607128 66996204 90209801 98410692 133992408 155816929 180419602 196821384 270629403 311633858 360839204 467450787 541258806 623267716 721678408 934901574 1082517612 1246535432 1713986219 1869803148 2165035224 3427972438 3739606296 5141958657 6855944876 10283917314 13711889752 20567834628 41135669256