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1428612992640 = 2734547709827
BaseRepresentation
bin10100110010011111111…
…110000100111010000000
312001120111111101102110000
4110302133332010322000
5141401244411231030
63012143514240000
7205133235035451
oct24623776047200
95046444342400
101428612992640
11500964877149
121b0a5b726000
13a494381c252
144d206765128
152726510d860
hex14c9ff84e80

1428612992640 has 640 divisors, whose sum is σ = 5224042771200. Its totient is φ = 371881746432.

The previous prime is 1428612992603. The next prime is 1428612992659. The reversal of 1428612992640 is 462992168241.

1428612992640 is a `hidden beast` number, since 1 + 4 + 286 + 12 + 99 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1727463907 + ... + 1727464733.

It is an arithmetic number, because the mean of its divisors is an integer number (8162566830).

Almost surely, 21428612992640 is an apocalyptic number.

1428612992640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428612992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612021385600).

1428612992640 is an abundant number, since it is smaller than the sum of its proper divisors (3795429778560).

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

1428612992640 is an equidigital number, since it uses as much as digits as its factorization.

1428612992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1428612992640 in words is "one trillion, four hundred twenty-eight billion, six hundred twelve million, nine hundred ninety-two thousand, six hundred forty".