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2821496401920 = 21235723832753
BaseRepresentation
bin101001000011101110010…
…010100111000000000000
3100222201202221020221201210
4221003232102213000000
5332211411034330140
610000102203530120
7410563211464560
oct51035622470000
910881687227653
102821496401920
119986541874a9
123969a9529940
131760b1c1aca1
149a7bdb44da0
154d5d85c3d80
hex290ee4a7000

2821496401920 has 416 divisors, whose sum is σ = 10325434632192. Its totient is φ = 644408672256.

The previous prime is 2821496401901. The next prime is 2821496401931. The reversal of 2821496401920 is 291046941282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2821496401920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024879264 + ... + 1024882016.

Almost surely, 22821496401920 is an apocalyptic number.

2821496401920 is a gapful number since it is divisible by the number (20) 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 2821496401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162717316096).

2821496401920 is an abundant number, since it is smaller than the sum of its proper divisors (7503938230272).

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

2821496401920 is a wasteful number, since it uses less digits than its factorization.

2821496401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 2821496401920 in words is "two trillion, eight hundred twenty-one billion, four hundred ninety-six million, four hundred one thousand, nine hundred twenty".