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19820016826896 = 24311137140669459
BaseRepresentation
bin1001000000110101101010…
…00011111111101000010000
32121011202221001100222120110
410200122311003333220100
510044212343301430041
6110053105014041320
74113643331213526
oct440326503775020
977152831328513
1019820016826896
116351692879190
122281303649240
13b0a033cb1540
144c74187a2316
1524586dda3516
hex1206b50ffa10

19820016826896 has 160 divisors (see below), whose sum is σ = 61000285731840. Its totient is φ = 5465975155200.

The previous prime is 19820016826889. The next prime is 19820016826921. The reversal of 19820016826896 is 69862861002891.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19847386 + ... + 20822073.

It is an arithmetic number, because the mean of its divisors is an integer number (381251785824).

Almost surely, 219820016826896 is an apocalyptic number.

19820016826896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19820016826896 is an abundant number, since it is smaller than the sum of its proper divisors (41180268904944).

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

19820016826896 is a wasteful number, since it uses less digits than its factorization.

19820016826896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40669565 (or 40669559 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 19820016826896 in words is "nineteen trillion, eight hundred twenty billion, sixteen million, eight hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 71 78 88 104 132 142 143 156 176 208 213 264 284 286 312 426 429 528 568 572 624 781 852 858 923 1136 1144 1562 1704 1716 1846 2288 2343 2769 3124 3408 3432 3692 4686 5538 6248 6864 7384 9372 10153 11076 12496 14768 18744 20306 22152 30459 37488 40612 44304 60918 81224 121836 162448 243672 487344 40669459 81338918 122008377 162677836 244016754 325355672 447364049 488033508 528702967 650711344 894728098 976067016 1057405934 1342092147 1586108901 1789456196 1952134032 2114811868 2684184294 2887531589 3172217802 3578912392 4229623736 5368368588 5775063178 5815732637 6344435604 7157824784 8459247472 8662594767 10736737176 11550126356 11631465274 12688871208 17325189534 17447197911 21473474352 23100252712 23262930548 25377742416 31762847479 34650379068 34894395822 37537910657 46200505424 46525861096 63525694958 69300758136 69788791644 75075821314 93051722192 95288542437 112613731971 127051389916 138601516272 139577583288 150151642628 190577084874 225227463942 254102779832 279155166576 300303285256 381154169748 412917017227 450454927884 508205559664 600606570512 762308339496 825834034454 900909855768 1238751051681 1524616678992 1651668068908 1801819711536 2477502103362 3303336137816 4955004206724 6606672275632 9910008413448 19820016826896