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9998161708392 = 233311132314012003
BaseRepresentation
bin1001000101111110000011…
…1000001000010101101000
31022101211000002011100211000
42101133200320020111220
52302302213344132032
633133031520035000
72051225524205454
oct221374070102550
938354002140730
109998161708392
1132052186a6360
121155864162a60
13576a9034c400
14267cb0d29664
1512511d873e7c
hex917e0e08568

9998161708392 has 768 divisors, whose sum is σ = 33967011225600. Its totient is φ = 2698375680000.

The previous prime is 9998161708351. The next prime is 9998161708397. The reversal of 9998161708392 is 2938071618999.

9998161708392 is a `hidden beast` number, since 9 + 9 + 9 + 8 + 161 + 70 + 8 + 392 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9998161708392.

It is not an unprimeable number, because it can be changed into a prime (9998161708397) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4991592463 + ... + 4991594465.

It is an arithmetic number, because the mean of its divisors is an integer number (44227879200).

Almost surely, 29998161708392 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 9998161708392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983505612800).

9998161708392 is an abundant number, since it is smaller than the sum of its proper divisors (23968849517208).

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

9998161708392 is a wasteful number, since it uses less digits than its factorization.

9998161708392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 9998161708392 in words is "nine trillion, nine hundred ninety-eight billion, one hundred sixty-one million, seven hundred eight thousand, three hundred ninety-two".