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10933514424 = 2332728177201
BaseRepresentation
bin10100010111011000…
…00011000010111000
31001012222100002011200
422023230003002320
5134342434430144
65004531054200
7534641224230
oct121354030270
931188302150
1010933514424
114700758238
122151741360
131053219681
1475a124cc0
1543ed09c69
hex28bb030b8

10933514424 has 96 divisors (see below), whose sum is σ = 33962703840. Its totient is φ = 3112704000.

The previous prime is 10933514363. The next prime is 10933514429. The reversal of 10933514424 is 42441533901.

10933514424 is a `hidden beast` number, since 10 + 93 + 3 + 514 + 42 + 4 = 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 (10933514429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103024 + ... + 180224.

It is an arithmetic number, because the mean of its divisors is an integer number (353778165).

Almost surely, 210933514424 is an apocalyptic number.

10933514424 is a gapful number since it is divisible by the number (14) 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 10933514424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981351920).

10933514424 is an abundant number, since it is smaller than the sum of its proper divisors (23029189416).

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

10933514424 is a wasteful number, since it uses less digits than its factorization.

10933514424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77501 (or 77494 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10933514424 in words is "ten billion, nine hundred thirty-three million, five hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 281 504 562 843 1124 1686 1967 2248 2529 3372 3934 5058 5901 6744 7868 10116 11802 15736 17703 20232 23604 35406 47208 70812 77201 141624 154402 231603 308804 463206 540407 617608 694809 926412 1080814 1389618 1621221 1852824 2161628 2779236 3242442 4323256 4863663 5558472 6484884 9727326 12969768 19454652 21693481 38909304 43386962 65080443 86773924 130160886 151854367 173547848 195241329 260321772 303708734 390482658 455563101 520643544 607417468 780965316 911126202 1214834936 1366689303 1561930632 1822252404 2733378606 3644504808 5466757212 10933514424