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21453869376 = 2632139267959
BaseRepresentation
bin10011111110110000…
…000001000101000000
32001101011020111002200
4103332300001011000
5322414142310001
613504502513200
71356434611062
oct237660010500
961334214080
1021453869376
11910a171665
1241a8a35800
13203b967a84
14107741b732
15858702086
hex4fec01140

21453869376 has 84 divisors (see below), whose sum is σ = 61936274400. Its totient is φ = 7099815168.

The previous prime is 21453869369. The next prime is 21453869377. The reversal of 21453869376 is 67396835412.

21453869376 is a `hidden beast` number, since 2 + 14 + 538 + 6 + 93 + 7 + 6 = 666.

It is a super-2 number, since 2×214538693762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21453869377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53916 + ... + 214043.

It is an arithmetic number, because the mean of its divisors is an integer number (737336600).

Almost surely, 221453869376 is an apocalyptic number.

It is an amenable number.

21453869376 is an abundant number, since it is smaller than the sum of its proper divisors (40482405024).

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

21453869376 is a wasteful number, since it uses less digits than its factorization.

21453869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268116 (or 268103 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 21453869376 in words is "twenty-one billion, four hundred fifty-three million, eight hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 20016 26688 40032 80064 267959 535918 803877 1071836 1607754 2143672 2411631 3215508 4287344 4823262 6431016 8574688 9646524 12862032 17149376 19293048 25724064 37246301 38586096 51448128 74492602 77172192 111738903 148985204 154344384 223477806 297970408 335216709 446955612 595940816 670433418 893911224 1191881632 1340866836 1787822448 2383763264 2681733672 3575644896 5363467344 7151289792 10726934688 21453869376