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28945099944 = 2332718816427
BaseRepresentation
bin11010111101010000…
…110010110010101000
32202201020022102112200
4122331100302302220
5433234421144234
621144105540200
72043200201325
oct327520626250
982636272480
1028945099944
1111303833002
1257397a4660
132963975397
1415882c9b4c
15b46200d99
hex6bd432ca8

28945099944 has 96 divisors (see below), whose sum is σ = 79599723840. Its totient is φ = 9500198400.

The previous prime is 28945099921. The next prime is 28945099949. The reversal of 28945099944 is 44999054982.

28945099944 is a `hidden beast` number, since 2 + 8 + 9 + 450 + 99 + 94 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (28945099949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4500459 + ... + 4506885.

It is an arithmetic number, because the mean of its divisors is an integer number (829163790).

Almost surely, 228945099944 is an apocalyptic number.

28945099944 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 28945099944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39799861920).

28945099944 is an abundant number, since it is smaller than the sum of its proper divisors (50654623896).

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

28945099944 is a wasteful number, since it uses less digits than its factorization.

28945099944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 28945099944 in words is "twenty-eight billion, nine hundred forty-five million, ninety-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 881 1278 1704 1762 2556 2643 3524 5112 5286 6427 7048 7929 10572 12854 15858 19281 21144 25708 31716 38562 51416 57843 62551 63432 77124 115686 125102 154248 187653 231372 250204 375306 456317 462744 500408 562959 750612 912634 1125918 1368951 1501224 1825268 2251836 2737902 3650536 4106853 4503672 5475804 5662187 8213706 10951608 11324374 16427412 16986561 22648748 32854824 33973122 45297496 50959683 67946244 101919366 135892488 203838732 402015277 407677464 804030554 1206045831 1608061108 2412091662 3216122216 3618137493 4824183324 7236274986 9648366648 14472549972 28945099944