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2620433837616 = 2437229174721991
BaseRepresentation
bin100110001000011110000…
…001110010111000110000
3100021111210112120102000220
4212020132001302320300
5320413122030300431
65323451035213040
7360214536052500
oct46103601627060
910244715512026
102620433837616
1192035764aa91
12363a35ba7180
1316014b72774a
1490b888aba00
154826bc10b96
hex2621e072e30

2620433837616 has 240 divisors, whose sum is σ = 8151245072640. Its totient is φ = 722431664640.

The previous prime is 2620433837597. The next prime is 2620433837641. The reversal of 2620433837616 is 6167383340262.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119148381 + ... + 119170371.

It is an arithmetic number, because the mean of its divisors is an integer number (33963521136).

Almost surely, 22620433837616 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 2620433837616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075622536320).

2620433837616 is an abundant number, since it is smaller than the sum of its proper divisors (5530811235024).

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

2620433837616 is a wasteful number, since it uses less digits than its factorization.

2620433837616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23792 (or 23779 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 2620433837616 in words is "two trillion, six hundred twenty billion, four hundred thirty-three million, eight hundred thirty-seven thousand, six hundred sixteen".