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1690425420372 = 2232133612020129
BaseRepresentation
bin11000100110010101001…
…101001110101001010100
312222121021122122210010200
4120212111031032221110
5210143442401422442
63332323135220500
7233062213665153
oct30462515165124
95877248583120
101690425420372
115a19a6098167
12233748077730
13c3538c1a240
145bb61cc959a
152de89e9634c
hex1899534ea54

1690425420372 has 36 divisors (see below), whose sum is σ = 4601713645620. Its totient is φ = 520130898432.

The previous prime is 1690425420367. The next prime is 1690425420377. The reversal of 1690425420372 is 2730245240961.

1690425420372 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 4 + 254 + 20 + 372 = 666.

It is an interprime number because it is at equal distance from previous prime (1690425420367) and next prime (1690425420377).

It can be written as a sum of positive squares in 2 ways, for example, as 117021463056 + 1573403957316 = 342084^2 + 1254354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690425420377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1806009597 + ... + 1806010532.

It is an arithmetic number, because the mean of its divisors is an integer number (127825379045).

Almost surely, 21690425420372 is an apocalyptic number.

1690425420372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1690425420372 is an abundant number, since it is smaller than the sum of its proper divisors (2911288225248).

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

1690425420372 is a wasteful number, since it uses less digits than its factorization.

1690425420372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612020152 (or 3612020147 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1690425420372 in words is "one trillion, six hundred ninety billion, four hundred twenty-five million, four hundred twenty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3612020129 7224040258 10836060387 14448080516 21672120774 32508181161 43344241548 46956261677 65016362322 93912523354 130032724644 140868785031 187825046708 281737570062 422606355093 563475140124 845212710186 1690425420372