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41117145608 = 237111716992311
BaseRepresentation
bin100110010010110001…
…011101101000001000
310221010112011102011202
4212102301131220020
51133201442124413
630520003043332
72653630654040
oct462261355010
9127115142152
1041117145608
111648a614080
127b76070548
133b53657376
141dc0ad0720
151109b07e58
hex992c5da08

41117145608 has 128 divisors (see below), whose sum is σ = 101875968000. Its totient is φ = 15061939200.

The previous prime is 41117145583. The next prime is 41117145703. The reversal of 41117145608 is 80654171114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17790773 + ... + 17793083.

It is an arithmetic number, because the mean of its divisors is an integer number (795906000).

Almost surely, 241117145608 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 41117145608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50937984000).

41117145608 is an abundant number, since it is smaller than the sum of its proper divisors (60758822392).

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

41117145608 is a wasteful number, since it uses less digits than its factorization.

41117145608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 41117145608 in words is "forty-one billion, one hundred seventeen million, one hundred forty-five thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 1699 2311 2618 3398 4622 5236 6796 9244 10472 11893 13592 16177 18488 18689 23786 25421 28883 32354 37378 39287 47572 50842 57766 64708 74756 78574 95144 101684 115532 129416 130823 149512 157148 177947 202181 203368 231064 261646 275009 314296 317713 355894 404362 432157 523292 550018 635426 711788 808724 864314 1046584 1100036 1270852 1423576 1617448 1728628 2200072 2223991 2541704 3025099 3457256 3926389 4447982 6050198 7852778 8895964 12100396 15705556 17791928 24200792 27484723 31411112 43190279 54969446 66748613 86380558 109938892 133497226 172761116 219877784 266994452 302331953 345522232 467240291 533988904 604663906 734234743 934480582 1209327812 1468469486 1868961164 2418655624 2936938972 3737922328 5139643201 5873877944 10279286402 20558572804 41117145608