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1980819464 = 2313171958967
BaseRepresentation
bin111011000010000…
…1110100000001000
312010001021001110212
41312010032200020
513024042210324
6524315500252
7100041454601
oct16604164010
95101231425
101980819464
11927136a88
12473457688
132574bcc30
1414b104da8
15b8d7470e
hex7610e808

1980819464 has 64 divisors (see below), whose sum is σ = 4457980800. Its totient is φ = 815145984.

The previous prime is 1980819439. The next prime is 1980819469. The reversal of 1980819464 is 4649180891.

It is a super-2 number, since 2×19808194642 = 7847291497922494592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1980819469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4109 + ... + 63075.

It is an arithmetic number, because the mean of its divisors is an integer number (69655950).

Almost surely, 21980819464 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 1980819464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228990400).

1980819464 is an abundant number, since it is smaller than the sum of its proper divisors (2477161336).

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

1980819464 is a wasteful number, since it uses less digits than its factorization.

1980819464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59022 (or 59018 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 1980819464 is about 44506.3980119713. The cubic root of 1980819464 is about 1255.8804452311.

The spelling of 1980819464 in words is "one billion, nine hundred eighty million, eight hundred nineteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1292 1768 1976 2584 4199 8398 16796 33592 58967 117934 235868 471736 766571 1002439 1120373 1533142 2004878 2240746 3066284 4009756 4481492 6132568 8019512 8962984 13031707 14564849 19046341 26063414 29129698 38092682 52126828 58259396 76185364 104253656 116518792 152370728 247602433 495204866 990409732 1980819464