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3996790569990 = 2335531931447153
BaseRepresentation
bin111010001010010011010…
…010000011110000000110
3112011002102012120202122000
4322022103102003300012
51010440411341214430
612300033352450130
7561521124206241
oct72122322036006
915132365522560
103996790569990
111301036098379
125467310a9946
1322cb84c0791a
14db634dbc258
156de74347e60
hex3a293483c06

3996790569990 has 128 divisors (see below), whose sum is σ = 10915477418880. Its totient is φ = 1040282320896.

The previous prime is 3996790569977. The next prime is 3996790570039. The reversal of 3996790569990 is 999650976993.

3996790569990 is a `hidden beast` number, since 399 + 6 + 7 + 9 + 0 + 56 + 99 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2038254 + ... + 3485406.

It is an arithmetic number, because the mean of its divisors is an integer number (85277167335).

Almost surely, 23996790569990 is an apocalyptic number.

3996790569990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996790569990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457738709440).

3996790569990 is an abundant number, since it is smaller than the sum of its proper divisors (6918686848890).

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

3996790569990 is a wasteful number, since it uses less digits than its factorization.

3996790569990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447415 (or 1447409 counting only the distinct ones).

The product of its (nonzero) digits is 2008846980, while the sum is 81.

The spelling of 3996790569990 in words is "three trillion, nine hundred ninety-six billion, seven hundred ninety million, five hundred sixty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 193 265 270 318 386 477 530 579 795 954 965 1158 1431 1590 1737 1930 2385 2862 2895 3474 4770 5211 5790 7155 8685 10229 10422 14310 17370 20458 26055 30687 51145 52110 61374 92061 102290 153435 184122 276183 306870 460305 552366 920610 1380915 1447153 2761830 2894306 4341459 7235765 8682918 13024377 14471530 21707295 26048754 39073131 43414590 65121885 76699109 78146262 130243770 153398218 195365655 230097327 279300529 383495545 390731310 460194654 558601058 690291981 766991090 837901587 1150486635 1380583962 1396502645 1675803174 2070875943 2300973270 2513704761 2793005290 3451459905 4141751886 4189507935 5027409522 6902919810 7541114283 8379015870 10354379715 12568523805 14802928037 15082228566 20708759430 25137047610 29605856074 37705571415 44408784111 74014640185 75411142830 88817568222 133226352333 148029280370 222043920555 266452704666 399679056999 444087841110 666131761665 799358113998 1332263523330 1998395284995 3996790569990