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20082980976 = 2433118174567
BaseRepresentation
bin10010101101000010…
…011111100001110000
31220211121200010202020
4102231002133201300
5312112220342401
613120451551440
71310450343642
oct225502374160
956747603666
1020082980976
118576356943
123a858bb580
131b8093cac6
14d87326892
157c81acd36
hex4ad09f870

20082980976 has 80 divisors (see below), whose sum is σ = 53851219968. Its totient is φ = 6442502400.

The previous prime is 20082980959. The next prime is 20082981013. The reversal of 20082980976 is 67908928002.

It is a happy number.

It is a super-2 number, since 2×200829809762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232045 + ... + 306611.

Almost surely, 220082980976 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 20082980976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26925609984).

20082980976 is an abundant number, since it is smaller than the sum of its proper divisors (33768238992).

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

20082980976 is a wasteful number, since it uses less digits than its factorization.

20082980976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74790 (or 74784 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 20082980976 in words is "twenty billion, eighty-two million, nine hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 181 186 248 362 372 496 543 724 744 1086 1448 1488 2172 2896 4344 5611 8688 11222 16833 22444 33666 44888 67332 74567 89776 134664 149134 223701 269328 298268 447402 596536 894804 1193072 1789608 2311577 3579216 4623154 6934731 9246308 13496627 13869462 18492616 26993254 27738924 36985232 40489881 53986508 55477848 80979762 107973016 110955696 161959524 215946032 323919048 418395437 647838096 836790874 1255186311 1673581748 2510372622 3347163496 5020745244 6694326992 10041490488 20082980976