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2642098934160 = 243557191377459
BaseRepresentation
bin100110011100101001010…
…111100101000110010000
3100100120201102021100100000
4212130221113211012100
5321242004311343120
65341432525330000
7361612450251330
oct46345127450620
910316642240300
102642098934160
11929564a72754
12368081706900
131621c207aaba
1491c41d910c0
1548ad8c38990
hex267295e5190

2642098934160 has 960 divisors, whose sum is σ = 11151986227200. Its totient is φ = 567871451136.

The previous prime is 2642098934147. The next prime is 2642098934173. The reversal of 2642098934160 is 614398902462.

2642098934160 is a `hidden beast` number, since 2 + 6 + 420 + 98 + 93 + 41 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2642098934147) and next prime (2642098934173).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2642098934097 and 2642098934106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 354212511 + ... + 354219969.

It is an arithmetic number, because the mean of its divisors is an integer number (11616652320).

Almost surely, 22642098934160 is an apocalyptic number.

2642098934160 is a gapful number since it is divisible by the number (20) 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 2642098934160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575993113600).

2642098934160 is an abundant number, since it is smaller than the sum of its proper divisors (8509887293040).

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

2642098934160 is a wasteful number, since it uses less digits than its factorization.

2642098934160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2642098934160 in words is "two trillion, six hundred forty-two billion, ninety-eight million, nine hundred thirty-four thousand, one hundred sixty".