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21334534452 = 223271143178987
BaseRepresentation
bin10011110111101000…
…110010100100110100
32001001211200122100200
4103313220302210310
5322143120100302
613445001040500
71353455356620
oct236750624464
961054618320
1021334534452
119058874560
124174a86130
1320200147aa
141065636180
1584cecd81c
hex4f7a32934

21334534452 has 144 divisors (see below), whose sum is σ = 68800123392. Its totient is φ = 5412536640.

The previous prime is 21334534451. The next prime is 21334534469. The reversal of 21334534452 is 25443543312.

21334534452 is a `hidden beast` number, since 2 + 133 + 45 + 34 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21334534451) 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, 29703 + ... + 208689.

Almost surely, 221334534452 is an apocalyptic number.

21334534452 is a gapful number since it is divisible by the number (22) 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 21334534452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34400061696).

21334534452 is an abundant number, since it is smaller than the sum of its proper divisors (47465588940).

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

21334534452 is a wasteful number, since it uses less digits than its factorization.

21334534452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179058 (or 179053 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 21334534452 in words is "twenty-one billion, three hundred thirty-four million, five hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 198 231 252 258 301 308 387 396 462 473 516 602 693 774 903 924 946 1204 1386 1419 1548 1806 1892 2709 2772 2838 3311 3612 4257 5418 5676 6622 8514 9933 10836 13244 17028 19866 29799 39732 59598 119196 178987 357974 536961 715948 1073922 1252909 1610883 1968857 2147844 2505818 3221766 3758727 3937714 5011636 5906571 6443532 7517454 7696441 7875428 11276181 11813142 13781999 15034908 15392882 17719713 22552362 23089323 23626284 27563998 30785764 35439426 41345997 45104724 46178646 53875087 55127996 69267969 70878852 82691994 84660851 92357292 107750174 124037991 138535938 161625261 165383988 169321702 215500348 248075982 253982553 277071876 323250522 338643404 484875783 496151964 507965106 592625957 646501044 761947659 969751566 1015930212 1185251914 1523895318 1777877871 1939503132 2370503828 3047790636 3555755742 5333633613 7111511484 10667267226 21334534452