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45513626444 = 221113378812441
BaseRepresentation
bin101010011000110100…
…101101001101001100
311100110220220210002022
4222120310231031030
51221202442021234
632524134545312
73200604304316
oct523064551514
9140426823068
1045513626444
111833628a210
1289a2508238
1343a4457610
1422ba9707b6
1512b5a98e2e
hexa98d2d34c

45513626444 has 96 divisors (see below), whose sum is σ = 96250980672. Its totient is φ = 18551808000.

The previous prime is 45513626381. The next prime is 45513626467. The reversal of 45513626444 is 44462631554.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 45513626395 and 45513626404.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18644264 + ... + 18646704.

It is an arithmetic number, because the mean of its divisors is an integer number (1002614382).

Almost surely, 245513626444 is an apocalyptic number.

45513626444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45513626444 is an abundant number, since it is smaller than the sum of its proper divisors (50737354228).

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

45513626444 is a wasteful number, since it uses less digits than its factorization.

45513626444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3385 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 45513626444 in words is "forty-five billion, five hundred thirteen million, six hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 22 26 37 44 52 74 143 148 286 407 481 572 814 881 962 1628 1762 1924 2441 3524 4882 5291 9691 9764 10582 11453 19382 21164 22906 26851 31733 32597 38764 45812 53702 63466 65194 90317 107404 125983 126932 130388 180634 251966 349063 358567 361268 423761 503932 698126 717134 847522 993487 1174121 1396252 1434268 1695044 1986974 2150521 2348242 3973948 4301042 4661371 4696484 8602084 9322742 12915331 18645484 23655731 25830662 27956773 47311462 51661324 55913546 79569277 94622924 111827092 159138554 307524503 318277108 615049006 875262047 1034400601 1230098012 1750524094 2068801202 3501048188 4137602404 11378406611 22756813222 45513626444