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2402494316544 = 21737347379
BaseRepresentation
bin100010111101011111110…
…100100000000000000000
322111200020221220122000010
4202331133310200000000
5303330302021112134
65035405103024520
7335401022514000
oct42753764400000
98450227818003
102402494316544
1184698a455113
1232975259b140
13145728891c5a
14843d2024000
154276387cce9
hex22f5fd20000

2402494316544 has 576 divisors, whose sum is σ = 7650381312000. Its totient is φ = 670049501184.

The previous prime is 2402494316533. The next prime is 2402494316561. The reversal of 2402494316544 is 4456134942042.

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

It is a junction number, because it is equal to n+sod(n) for n = 2402494316493 and 2402494316502.

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, 6339034947 + ... + 6339035325.

It is an arithmetic number, because the mean of its divisors is an integer number (13281912000).

Almost surely, 22402494316544 is an apocalyptic number.

2402494316544 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 2402494316544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825190656000).

2402494316544 is an abundant number, since it is smaller than the sum of its proper divisors (5247886995456).

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

2402494316544 is an frugal number, since it uses more digits than its factorization.

2402494316544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 2402494316544 in words is "two trillion, four hundred two billion, four hundred ninety-four million, three hundred sixteen thousand, five hundred forty-four".