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19982353086 = 23219833072293
BaseRepresentation
bin10010100111000010…
…101000001010111110
31220120121022201020100
4102213002220022332
5311410440244321
613102455101530
71305116125113
oct224702501276
956517281210
1019982353086
1185245766a3
123a580718a6
131b65b39587
14d77c1090a
157be432326
hex4a70a82be

19982353086 has 96 divisors (see below), whose sum is σ = 46293287040. Its totient is φ = 6211173312.

The previous prime is 19982353043. The next prime is 19982353087. The reversal of 19982353086 is 68035328991.

19982353086 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 23 + 530 + 86 = 666.

It is a super-4 number, since 4×199823530864 (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19982353087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8713356 + ... + 8715648.

It is an arithmetic number, because the mean of its divisors is an integer number (482221740).

Almost surely, 219982353086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19982353086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23146643520).

19982353086 is an abundant number, since it is smaller than the sum of its proper divisors (26310933954).

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

19982353086 is a wasteful number, since it uses less digits than its factorization.

19982353086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 19982353086 in words is "nineteen billion, nine hundred eighty-two million, three hundred fifty-three thousand, eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 249 307 342 498 614 747 921 1494 1577 1842 2293 2763 3154 4586 4731 5526 5833 6879 9462 11666 13758 14193 17499 20637 25481 28386 34998 41274 43567 50962 52497 76443 87134 104994 130701 152886 190319 229329 261402 380638 392103 458658 484139 570957 703951 784206 968278 1141914 1407902 1452417 1712871 2111853 2904834 3425742 3616061 4223706 4357251 6335559 7232122 8714502 10848183 12671118 13375069 21696366 26750138 32544549 40125207 58427933 65089098 80250414 116855866 120375621 175283799 240751242 350567598 525851397 1051702794 1110130727 2220261454 3330392181 6660784362 9991176543 19982353086