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1002634984384 = 26111923113151191
BaseRepresentation
bin11101001011100011011…
…00111011101111000000
310112211222100121111112021
432211301230323233000
5112411344024000014
62044334255211224
7132303141515155
oct16456154735700
93484870544467
101002634984384
11357240345740
12142398516b14
137371816a3b7
143675639422c
151b132c57624
hexe971b3bbc0

1002634984384 has 448 divisors, whose sum is σ = 2433749483520. Its totient is φ = 404490240000.

The previous prime is 1002634984357. The next prime is 1002634984397. The reversal of 1002634984384 is 4834894362001.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5249397729 + ... + 5249397919.

Almost surely, 21002634984384 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 1002634984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216874741760).

1002634984384 is an abundant number, since it is smaller than the sum of its proper divisors (1431114499136).

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

1002634984384 is a wasteful number, since it uses less digits than its factorization.

1002634984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 1002634984384 in words is "one trillion, two billion, six hundred thirty-four million, nine hundred eighty-four thousand, three hundred eighty-four".