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19975994429382 = 23217283775329753
BaseRepresentation
bin1001000101011000001100…
…00011010100111111000110
32121201200112101202011111200
410202230012003110333012
510104241314033220012
6110252502315243330
74131134523030345
oct442540603247706
977650471664450
1019975994429382
11640185409a582
1222a7594149546
13b1b960ab6c94
144d0bb3db1b5c
1524994c6443dc
hex122b060d4fc6

19975994429382 has 96 divisors (see below), whose sum is σ = 45996692889888. Its totient is φ = 6243818508288.

The previous prime is 19975994429353. The next prime is 19975994429383. The reversal of 19975994429382 is 28392449957991.

19975994429382 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 5 + 9 + 9 + 442 + 93 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19975994429383) 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, 671379418 + ... + 671409170.

It is an arithmetic number, because the mean of its divisors is an integer number (479132217603).

Almost surely, 219975994429382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19975994429382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998346444944).

19975994429382 is an abundant number, since it is smaller than the sum of its proper divisors (26020698460506).

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

19975994429382 is a wasteful number, since it uses less digits than its factorization.

19975994429382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37814 (or 37811 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 81.

The spelling of 19975994429382 in words is "nineteen trillion, nine hundred seventy-five billion, nine hundred ninety-four million, four hundred twenty-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 283 306 566 849 1698 2547 4811 5094 7753 9622 14433 15506 23259 28866 29753 43299 46518 59506 69777 86598 89259 131801 139554 178518 263602 267777 395403 505801 535554 790806 1011602 1186209 1517403 2194099 2372418 3034806 4388198 4552209 6582297 8420099 9104418 13164594 16840198 19746891 25260297 37299683 39493782 50520594 74599366 75780891 111899049 143141683 151561782 223798098 230675009 286283366 335697147 429425049 461350018 671394294 692025027 858850098 1288275147 1384050054 2076075081 2576550294 3921475153 4152150162 7842950306 11764425459 23528850918 35293276377 65281027547 70586552754 130562055094 195843082641 391686165282 587529247923 1109777468299 1175058495846 2219554936598 3329332404897 6658664809794 9987997214691 19975994429382