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1921339020480 = 2635112311314073
BaseRepresentation
bin11011111101011000101…
…110101101010011000000
320210200022102100001202020
4123331120232231103000
5222434400242123410
64030352335121440
7255545400132165
oct33753056552300
96720272301666
101921339020480
11680920873700
12270450673280
1310c24897a289
1468dc98b206c
1534ea235aa70
hex1bf58bad4c0

1921339020480 has 672 divisors, whose sum is σ = 6976081373184. Its totient is φ = 447203328000.

The previous prime is 1921339020463. The next prime is 1921339020493. The reversal of 1921339020480 is 840209331291.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471723724 + ... + 471727796.

It is an arithmetic number, because the mean of its divisors is an integer number (10381073472).

Almost surely, 21921339020480 is an apocalyptic number.

1921339020480 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 1921339020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488040686592).

1921339020480 is an abundant number, since it is smaller than the sum of its proper divisors (5054742352704).

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

1921339020480 is a wasteful number, since it uses less digits than its factorization.

1921339020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 1921339020480 in words is "one trillion, nine hundred twenty-one billion, three hundred thirty-nine million, twenty thousand, four hundred eighty".