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45512225292 = 22323432101883
BaseRepresentation
bin101010011000101111…
…010111001000001100
311100110211021121001210
4222120233113020030
51221202112202132
632524044534420
73200556350322
oct523057271014
9140424247053
1045512225292
1118335512536
1289a1b51410
1343a4086931
1422ba6c7d12
1512b58bdbcc
hexa98bd720c

45512225292 has 144 divisors (see below), whose sum is σ = 114702352128. Its totient is φ = 14017449600.

The previous prime is 45512225281. The next prime is 45512225321. The reversal of 45512225292 is 29252221554.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45512225292.

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 47 ways as a sum of consecutive naturals, for example, 51542283 + ... + 51543165.

It is an arithmetic number, because the mean of its divisors is an integer number (796544112).

Almost surely, 245512225292 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 45512225292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57351176064).

45512225292 is an abundant number, since it is smaller than the sum of its proper divisors (69190126836).

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

45512225292 is a wasteful number, since it uses less digits than its factorization.

45512225292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1055 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The spelling of 45512225292 in words is "forty-five billion, five hundred twelve million, two hundred twenty-five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 101 129 138 172 202 258 276 303 404 516 606 883 989 1212 1766 1849 1978 2323 2649 2967 3532 3698 3956 4343 4646 5298 5547 5934 6969 7396 8686 9292 10596 11094 11868 13029 13938 17372 20309 22188 26058 27876 37969 40618 42527 52116 60927 75938 81236 85054 89183 99889 113907 121854 127581 151876 170108 178366 186749 199778 227814 243708 255162 267549 299667 356732 373498 399556 455628 510324 535098 560247 599334 746996 873287 1070196 1120494 1198668 1632667 1746574 2051209 2240988 2619861 3265334 3493148 3834869 4102418 4295227 4898001 5239722 6153627 6530668 7669738 8204836 8590454 9796002 10479444 11504607 12307254 12885681 15339476 17180908 19592004 23009214 24614508 25771362 37551341 46018428 51542724 75102682 88201987 112654023 150205364 164899367 176403974 225308046 264605961 329798734 352807948 450616092 494698101 529211922 659597468 989396202 1058423844 1978792404 3792685441 7585370882 11378056323 15170741764 22756112646 45512225292