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690005013984 = 2532111353347911
BaseRepresentation
bin10100000101001111000…
…00001111010111100000
32102222000122011111111200
422002213200033113200
542301112240421414
61244552310041200
7100564652563416
oct12024740172740
92388018144450
10690005013984
112466a1929780
12b1889349200
13500b4816a30
1425579ac92b6
1512e3688a109
hexa0a780f5e0

690005013984 has 576 divisors, whose sum is σ = 2358093523968. Its totient is φ = 188613734400.

The previous prime is 690005013953. The next prime is 690005014007. The reversal of 690005013984 is 489310500096.

It is a happy number.

690005013984 is a `hidden beast` number, since 69 + 0 + 0 + 0 + 501 + 3 + 9 + 84 = 666.

It is a super-2 number, since 2×6900050139842 (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 757414489 + ... + 757415399.

It is an arithmetic number, because the mean of its divisors is an integer number (4093912368).

Almost surely, 2690005013984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690005013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179046761984).

690005013984 is an abundant number, since it is smaller than the sum of its proper divisors (1668088509984).

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

690005013984 is a wasteful number, since it uses less digits than its factorization.

690005013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 690005013984 in words is "six hundred ninety billion, five million, thirteen thousand, nine hundred eighty-four".