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45531374304 = 2531328093469
BaseRepresentation
bin101010011001111000…
…011010001011100000
311100112011022110120110
4222121320122023200
51221222012434204
632530011211320
73201211203333
oct523170321340
9140464273513
1045531374304
1118345301469
1289a8446b40
1343a802c900
1422bd07061a
1512b7402889
hexa99e1a2e0

45531374304 has 144 divisors (see below), whose sum is σ = 129618241200. Its totient is φ = 13988302848.

The previous prime is 45531374303. The next prime is 45531374321. The reversal of 45531374304 is 40347313554.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45531374303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13123482 + ... + 13126950.

It is an arithmetic number, because the mean of its divisors is an integer number (900126675).

Almost surely, 245531374304 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 45531374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64809120600).

45531374304 is an abundant number, since it is smaller than the sum of its proper divisors (84086866896).

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

45531374304 is a wasteful number, since it uses less digits than its factorization.

45531374304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

Adding to 45531374304 its reverse (40347313554), we get a palindrome (85878687858).

The spelling of 45531374304 in words is "forty-five billion, five hundred thirty-one million, three hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 809 1014 1248 1352 1618 2028 2427 2704 3236 3469 4056 4854 5408 6472 6938 8112 9708 10407 10517 12944 13876 16224 19416 20814 21034 25888 27752 31551 38832 41628 42068 45097 55504 63102 77664 83256 84136 90194 111008 126204 135291 136721 166512 168272 180388 252408 270582 273442 333024 336544 360776 410163 504816 541164 546884 586261 721552 820326 1009632 1082328 1093768 1172522 1443104 1640652 1758783 2164656 2187536 2345044 2806421 3281304 3517566 4329312 4375072 4690088 5612842 6562608 7035132 8419263 9380176 11225684 13125216 14070264 16838526 18760352 22451368 28140528 33677052 36483473 44902736 56281056 67354104 72966946 89805472 109450419 134708208 145933892 218900838 269416416 291867784 437801676 474285149 583735568 875603352 948570298 1167471136 1422855447 1751206704 1897140596 2845710894 3502413408 3794281192 5691421788 7588562384 11382843576 15177124768 22765687152 45531374304