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20040849864 = 23327213940867
BaseRepresentation
bin10010101010100001…
…110001100111001000
31220201200101122201200
4102222201301213020
5312020424143424
613112344544200
71306426261500
oct225241614710
956650348650
1020040849864
1185545a0142
123a73782060
131b74cab259
14d818baa00
157c46398c9
hex4aa8719c8

20040849864 has 144 divisors (see below), whose sum is σ = 63594694800. Its totient is φ = 5684624064.

The previous prime is 20040849859. The next prime is 20040849883. The reversal of 20040849864 is 46894804002.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469959 + ... + 510825.

It is an arithmetic number, because the mean of its divisors is an integer number (441629825).

Almost surely, 220040849864 is an apocalyptic number.

20040849864 is a gapful number since it is divisible by the number (24) 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 20040849864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31797347400).

20040849864 is an abundant number, since it is smaller than the sum of its proper divisors (43553844936).

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

20040849864 is a wasteful number, since it uses less digits than its factorization.

20040849864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41032 (or 41018 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 20040849864 in words is "twenty billion, forty million, eight hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 139 147 168 196 252 278 294 392 417 441 504 556 588 834 882 973 1112 1176 1251 1668 1764 1946 2502 2919 3336 3528 3892 5004 5838 6811 7784 8757 10008 11676 13622 17514 20433 23352 27244 35028 40866 40867 54488 61299 70056 81732 81734 122598 122601 163464 163468 245196 245202 286069 326936 367803 490392 490404 572138 735606 858207 980808 1144276 1471212 1716414 2002483 2288552 2574621 2942424 3432828 4004966 5149242 5680513 6007449 6865656 8009932 10298484 11361026 12014898 16019864 17041539 18022347 20596968 22722052 24029796 34083078 36044694 39763591 45444104 48059592 51124617 68166156 72089388 79527182 102249234 119290773 136332312 144178776 159054364 204498468 238581546 278345137 318108728 357872319 408996936 477163092 556690274 715744638 835035411 954326184 1113380548 1431489276 1670070822 2226761096 2505106233 2862978552 3340141644 5010212466 6680283288 10020424932 20040849864