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684507400020 = 22325616672
BaseRepresentation
bin10011111010111111101…
…00100000011101010100
32102102211111102202220200
421331133310200131110
542203332343300040
61242243001100500
7100311505620363
oct11753764403524
92372744382820
10684507400020
11244330644a64
12b07b4187730
134c71985a112
14251b78d37da
1512c13ddc630
hex9f5fd20754

684507400020 has 54 divisors (see below), whose sum is σ = 2076372784122. Its totient is φ = 182532346656.

The previous prime is 684507399911. The next prime is 684507400097. The reversal of 684507400020 is 20004705486.

It can be written as a sum of positive squares in only one way, i.e., 547605920016 + 136901480004 = 740004^2 + 370002^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11069227 + ... + 11130893.

Almost surely, 2684507400020 is an apocalyptic number.

684507400020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

684507400020 is an abundant number, since it is smaller than the sum of its proper divisors (1391865384102).

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

684507400020 is an frugal number, since it uses more digits than its factorization.

684507400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123349 (or 61677 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 684507400020 in words is "six hundred eighty-four billion, five hundred seven million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 61667 123334 185001 246668 308335 370002 555003 616670 740004 925005 1110006 1233340 1850010 2220012 2775015 3700020 5550030 11100060 3802818889 7605637778 11408456667 15211275556 19014094445 22816913334 34225370001 38028188890 45633826668 57042283335 68450740002 76056377780 114084566670 136901480004 171126850005 228169133340 342253700010 684507400020