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2493081897984 = 21035171931019
BaseRepresentation
bin100100010001110111010…
…000101100110000000000
322211100002011102120100000
4210101313100230300000
5311321312431213414
65145150033200000
7345055615324656
oct44216720546000
98740064376300
102493081897984
118813458118a7
12343214100000
13151134352452
1488946d94dd6
1544cb65c2b09
hex2447742cc00

2493081897984 has 528 divisors, whose sum is σ = 8320770057600. Its totient is φ = 740954013696.

The previous prime is 2493081897959. The next prime is 2493081898057. The reversal of 2493081897984 is 4897981803942.

2493081897984 is a `hidden beast` number, since 249 + 308 + 1 + 8 + 9 + 79 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80357227 + ... + 80388245.

It is an arithmetic number, because the mean of its divisors is an integer number (15759034200).

Almost surely, 22493081897984 is an apocalyptic number.

2493081897984 is a gapful number since it is divisible by the number (24) 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 2493081897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160385028800).

2493081897984 is an abundant number, since it is smaller than the sum of its proper divisors (5827688159616).

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

2493081897984 is a wasteful number, since it uses less digits than its factorization.

2493081897984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31090 (or 31060 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 2493081897984 in words is "two trillion, four hundred ninety-three billion, eighty-one million, eight hundred ninety-seven thousand, nine hundred eighty-four".