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2042374980096 = 293211293137519
BaseRepresentation
bin11101101110000111000…
…010010000001000000000
321020020201121211212200100
4131232013002100020000
5231430240443330341
64202130515522400
7300361645615053
oct35560702201000
97206647755610
102042374980096
117181914825a0
1228b9ab2b9400
1311a7976822a9
1470bcc646a9a
15381d82473b6
hex1db87090200

2042374980096 has 240 divisors, whose sum is σ = 6452283277440. Its totient is φ = 616784732160.

The previous prime is 2042374980091. The next prime is 2042374980097. The reversal of 2042374980096 is 6900894732402.

2042374980096 is a `hidden beast` number, since 20 + 42 + 3 + 7 + 498 + 0 + 0 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (2042374980091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14782825 + ... + 14920343.

It is an arithmetic number, because the mean of its divisors is an integer number (26884513656).

Almost surely, 22042374980096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042374980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226141638720).

2042374980096 is an abundant number, since it is smaller than the sum of its proper divisors (4409908297344).

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

2042374980096 is a wasteful number, since it uses less digits than its factorization.

2042374980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137847 (or 137828 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2042374980096 in words is "two trillion, forty-two billion, three hundred seventy-four million, nine hundred eighty thousand, ninety-six".