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2083662607768 = 237103361245251
BaseRepresentation
bin11110010100100011111…
…110000011010110011000
321101012022000210200021121
4132110203332003112120
5233114320111422033
64233115453015024
7303353046636310
oct36244376032630
97335260720247
102083662607768
11733749248335
122979b2484474
1312164742a201
1472bc7c34440
1539302cc862d
hex1e523f83598

2083662607768 has 32 divisors (see below), whose sum is σ = 4508340744960. Its totient is φ = 884328372000.

The previous prime is 2083662607751. The next prime is 2083662607777. The reversal of 2083662607768 is 8677062663802.

It is a super-3 number, since 3×20836626077683 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180616858 + ... + 180628393.

It is an arithmetic number, because the mean of its divisors is an integer number (140885648280).

Almost surely, 22083662607768 is an apocalyptic number.

2083662607768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2083662607768 is an abundant number, since it is smaller than the sum of its proper divisors (2424678137192).

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

2083662607768 is a wasteful number, since it uses less digits than its factorization.

2083662607768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361245367 (or 361245363 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 61.

The spelling of 2083662607768 in words is "two trillion, eighty-three billion, six hundred sixty-two million, six hundred seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 5768 361245251 722490502 1444981004 2528716757 2889962008 5057433514 10114867028 20229734056 37208260853 74416521706 148833043412 260457825971 297666086824 520915651942 1041831303884 2083662607768