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45268913424 = 2437225774891
BaseRepresentation
bin101010001010001111…
…001100110100010000
311022211212110001221010
4222022033030310100
51220202320212144
632443553530520
73161543262300
oct521217146420
9138755401833
1045268913424
1118220137749
128934573a40
134365846507
14229626d600
15129e35b5b9
hexa8a3ccd10

45268913424 has 120 divisors (see below), whose sum is σ = 136568857248. Its totient is φ = 12883476480.

The previous prime is 45268913419. The next prime is 45268913441. The reversal of 45268913424 is 42431986254.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567019 + ... + 641909.

Almost surely, 245268913424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45268913424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68284428624).

45268913424 is an abundant number, since it is smaller than the sum of its proper divisors (91299943824).

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

45268913424 is a wasteful number, since it uses less digits than its factorization.

45268913424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75173 (or 75160 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 45268913424 in words is "forty-five billion, two hundred sixty-eight million, nine hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 257 294 336 392 514 588 771 784 1028 1176 1542 1799 2056 2352 3084 3598 4112 5397 6168 7196 10794 12336 12593 14392 21588 25186 28784 37779 43176 50372 74891 75558 86352 100744 149782 151116 201488 224673 299564 302232 449346 524237 599128 604464 898692 1048474 1198256 1572711 1797384 2096948 3145422 3594768 3669659 4193896 6290844 7339318 8387792 11008977 12581688 14678636 19246987 22017954 25163376 29357272 38493974 44035908 57740961 58714544 76987948 88071816 115481922 134728909 153975896 176143632 230963844 269457818 307951792 404186727 461927688 538915636 808373454 923855376 943102363 1077831272 1616746908 1886204726 2155662544 2829307089 3233493816 3772409452 5658614178 6466987632 7544818904 11317228356 15089637808 22634456712 45268913424