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74640004425 = 32527233920261
BaseRepresentation
bin100010110000011100…
…1000001010101001001
321010122210100002100100
41011200321001111021
52210330320120200
654142242200013
75251435366230
oct1054071012511
9233583302310
1074640004425
1129722378078
1212570953009
1370668304bc
143880d67b17
151e1cb56d00
hex1160e41549

74640004425 has 72 divisors (see below), whose sum is σ = 152859769920. Its totient is φ = 34104873600.

The previous prime is 74640004421. The next prime is 74640004441. The reversal of 74640004425 is 52440004647.

74640004425 is a `hidden beast` number, since 7 + 4 + 640 + 0 + 0 + 4 + 4 + 2 + 5 = 666.

It is not a de Polignac number, because 74640004425 - 22 = 74640004421 is a prime.

It is a super-2 number, since 2×746400044252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74640004425.

It is not an unprimeable number, because it can be changed into a prime (74640004421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3673795 + ... + 3694055.

It is an arithmetic number, because the mean of its divisors is an integer number (2123052360).

Almost surely, 274640004425 is an apocalyptic number.

74640004425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74640004425 is an abundant number, since it is smaller than the sum of its proper divisors (78219765495).

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

74640004425 is a wasteful number, since it uses less digits than its factorization.

74640004425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22623 (or 22615 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 74640004425 in words is "seventy-four billion, six hundred forty million, four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 2339 7017 11695 16373 20261 21051 35085 49119 58475 60783 81865 101305 105255 141827 147357 175425 182349 245595 303915 409325 425481 506525 526275 709135 736785 911745 1227975 1276443 1519575 2127405 3545675 3683925 4558725 6382215 10637025 31911075 47390479 142171437 236952395 331733353 426514311 710857185 995200059 1184761975 1658666765 2132571555 2985600177 3554285925 4976000295 8293333825 10662857775 14928000885 24880001475 74640004425