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20764008788337 = 331567490770493
BaseRepresentation
bin1001011100010011111110…
…10111100011000101110001
32201112000112110210020221000
410232021333113203011301
510210144142222211322
6112054504241552213
74242102331411443
oct456117727430561
981460473706830
1020764008788337
116685a6a70a801
1223b4254645669
13b78064888759
1451adaa5b6493
152601bd5a03ac
hex12e27f5e3171

20764008788337 has 16 divisors (see below), whose sum is σ = 30781125383680. Its totient is φ = 13833838628496.

The previous prime is 20764008788293. The next prime is 20764008788417. The reversal of 20764008788337 is 73388780046702.

20764008788337 is a `hidden beast` number, since 2 + 0 + 76 + 400 + 87 + 8 + 83 + 3 + 7 = 666.

It is not a de Polignac number, because 20764008788337 - 211 = 20764008786289 is a prime.

It is a super-2 number, since 2×207640087883372 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20764008738337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245342938 + ... + 245427555.

It is an arithmetic number, because the mean of its divisors is an integer number (1923820336480).

Almost surely, 220764008788337 is an apocalyptic number.

20764008788337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20764008788337 is a deficient number, since it is larger than the sum of its proper divisors (10017116595343).

20764008788337 is a wasteful number, since it uses less digits than its factorization.

20764008788337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490772069 (or 490772063 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 20764008788337 in words is "twenty trillion, seven hundred sixty-four billion, eight million, seven hundred eighty-eight thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 1567 4701 14103 42309 490770493 1472311479 4416934437 13250803311 769037362531 2307112087593 6921336262779 20764008788337