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41632064603640 = 23325716520660557
BaseRepresentation
bin10010111011101001110000…
…11011000000010111111000
312110101222122011102010102100
421131310320123000113320
520424044432014304030
6224313301220503400
711524550241221160
oct1135647033002770
9173358564363370
1041632064603640
11122a1072139895
1248046a624ab60
131a2cb6b52c444
14a3d0074c55a0
154c2e2b2ee360
hex25dd386c05f8

41632064603640 has 96 divisors (see below), whose sum is σ = 154633382822880. Its totient is φ = 9515900480256.

The previous prime is 41632064603627. The next prime is 41632064603699. The reversal of 41632064603640 is 4630646023614.

41632064603640 is a `hidden beast` number, since 4 + 1 + 6 + 32 + 0 + 6 + 4 + 603 + 6 + 4 + 0 = 666.

41632064603640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8260327759 + ... + 8260332798.

It is an arithmetic number, because the mean of its divisors is an integer number (1610764404405).

Almost surely, 241632064603640 is an apocalyptic number.

41632064603640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41632064603640 is an abundant number, since it is smaller than the sum of its proper divisors (113001318219240).

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

41632064603640 is a wasteful number, since it uses less digits than its factorization.

41632064603640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520660581 (or 16520660574 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 41632064603640 in words is "forty-one trillion, six hundred thirty-two billion, sixty-four million, six hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 16520660557 33041321114 49561981671 66082642228 82603302785 99123963342 115644623899 132165284456 148685945013 165206605570 198247926684 231289247798 247809908355 297371890026 330413211140 346933871697 396495853368 462578495596 495619816710 578223119495 594743780052 660826422280 693867743394 743429725065 925156991192 991239633420 1040801615091 1156446238990 1189487560104 1387735486788 1486859450130 1734669358485 1982479266840 2081603230182 2312892477980 2775470973576 2973718900260 3469338716970 4163206460364 4625784955960 5204008075455 5947437800520 6938677433940 8326412920728 10408016150910 13877354867880 20816032301820 41632064603640