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41661324540612 = 223278316631197739
BaseRepresentation
bin10010111100100000010000…
…11100110011101011000100
312110111210011100010221011200
421132100020130303223010
520430034343040244422
6224334540454502500
711526634313455650
oct1136201034635304
9173453140127150
1041661324540612
111230251765a587
12480a2b1364a30
131a32852498a0a
14a405c1527a60
154c3a8ee902ac
hex25e408733ac4

41661324540612 has 144 divisors (see below), whose sum is σ = 121878342942720. Its totient is φ = 11752741842624.

The previous prime is 41661324540601. The next prime is 41661324540683. The reversal of 41661324540612 is 21604542316614.

41661324540612 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 1 + 3 + 24 + 5 + 4 + 0 + 612 = 666.

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, 34184439 + ... + 35382177.

Almost surely, 241661324540612 is an apocalyptic number.

41661324540612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41661324540612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60939171471360).

41661324540612 is an abundant number, since it is smaller than the sum of its proper divisors (80217018402108).

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

41661324540612 is a wasteful number, since it uses less digits than its factorization.

41661324540612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199502 (or 1199497 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 41661324540612 in words is "forty-one trillion, six hundred sixty-one billion, three hundred twenty-four million, five hundred forty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1663 1743 2324 2988 3326 3486 4989 5229 6652 6972 9978 10458 11641 14967 19956 20916 23282 29934 34923 46564 59868 69846 104769 138029 139692 209538 276058 414087 419076 552116 828174 966203 1197739 1242261 1656348 1932406 2395478 2484522 2898609 3593217 3864812 4790956 4969044 5797218 7186434 8384173 8695827 10779651 11594436 14372868 16768346 17391654 21559302 25152519 33536692 34783308 43118604 50305038 75457557 99412337 100610076 150915114 198824674 298237011 301830228 397649348 596474022 695886359 894711033 1192948044 1391772718 1789422066 1991839957 2087659077 2783545436 3578844132 3983679914 4175318154 5975519871 6262977231 7967359828 8350636308 11951039742 12525954462 13942879699 17926559613 23902079484 25051908924 27885759398 35853119226 41828639097 55771518796 71706238452 83657278194 125485917291 165322716431 167314556388 250971834582 330645432862 495968149293 501943669164 661290865724 991936298586 1157259015017 1487904447879 1983872597172 2314518030034 2975808895758 3471777045051 4629036060068 5951617791516 6943554090102 10415331135153 13887108180204 20830662270306 41661324540612