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12242139984 = 2433103275129
BaseRepresentation
bin10110110011011000…
…00011101101010000
31011121011202010222000
423121230003231100
5200032441434414
65342435314000
7612241321134
oct133154035520
934534663860
1012242139984
115212406a68
122457a4b900
131201384719
14841c4d3c4
154b9b50b09
hex2d9b03b50

12242139984 has 80 divisors (see below), whose sum is σ = 35480764800. Its totient is φ = 4041080064.

The previous prime is 12242139979. The next prime is 12242139991. The reversal of 12242139984 is 48993124221.

12242139984 is a `hidden beast` number, since 12 + 242 + 1 + 399 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93069 + ... + 182060.

It is an arithmetic number, because the mean of its divisors is an integer number (443509560).

Almost surely, 212242139984 is an apocalyptic number.

It is an amenable number.

12242139984 is an abundant number, since it is smaller than the sum of its proper divisors (23238624816).

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

12242139984 is a wasteful number, since it uses less digits than its factorization.

12242139984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275249 (or 275237 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 12242139984 in words is "twelve billion, two hundred forty-two million, one hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 7416 11124 14832 22248 44496 275129 550258 825387 1100516 1650774 2201032 2476161 3301548 4402064 4952322 6603096 7428483 9904644 13206192 14856966 19809288 28338287 29713932 39618576 56676574 59427864 85014861 113353148 118855728 170029722 226706296 255044583 340059444 453412592 510089166 680118888 765133749 1020178332 1360237776 1530267498 2040356664 3060534996 4080713328 6121069992 12242139984