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690378873096 = 233116791385079
BaseRepresentation
bin10100000101111011100…
…10011001100100001000
32102222222200122111210110
422002331302121210020
542302343442414341
61245053343114320
7100610142411603
oct12027562314410
92388880574713
10690378873096
1124687396a650
12b19725a29a0
1350144104a43
14255b360733a
1512e595d8216
hexa0bdc99908

690378873096 has 64 divisors (see below), whose sum is σ = 1883133619200. Its totient is φ = 209174369600.

The previous prime is 690378873053. The next prime is 690378873109.

It is a happy number.

690378873096 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 15 ways as a sum of consecutive naturals, for example, 1600285 + ... + 1985363.

It is an arithmetic number, because the mean of its divisors is an integer number (29423962800).

Almost surely, 2690378873096 is an apocalyptic number.

690378873096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

690378873096 is an abundant number, since it is smaller than the sum of its proper divisors (1192754746104).

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

690378873096 is a wasteful number, since it uses less digits than its factorization.

690378873096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391890 (or 391886 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 690378873096 in words is "six hundred ninety billion, three hundred seventy-eight million, eight hundred seventy-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 6791 13582 20373 27164 40746 54328 74701 81492 149402 162984 224103 298804 385079 448206 597608 770158 896412 1155237 1540316 1792824 2310474 3080632 4235869 4620948 8471738 9241896 12707607 16943476 25415214 33886952 50830428 101660856 2615071489 5230142978 7845214467 10460285956 15690428934 20920571912 28765786379 31380857868 57531572758 62761715736 86297359137 115063145516 172594718274 230126291032 345189436548 690378873096