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45016265603664 = 24332918119852223
BaseRepresentation
bin10100011110001001010101…
…00001010011101001010000
312220101111211221122102021000
422033010222201103221100
521400021302443304124
6235424104213102000
712324214012126665
oct1217045241235120
9186344757572230
1045016265603664
11133863223a8393
125070554327900
131c1702845b984
14b18b281b1a6c
15530e9a3eb6c9
hex28f12a853a50

45016265603664 has 160 divisors (see below), whose sum is σ = 134407497369600. Its totient is φ = 14407948638720.

The previous prime is 45016265603663. The next prime is 45016265603711. The reversal of 45016265603664 is 46630656261054.

45016265603664 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 6 + 26 + 5 + 603 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45016265603664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45016265603663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7658544 + ... + 12193679.

It is an arithmetic number, because the mean of its divisors is an integer number (840046858560).

Almost surely, 245016265603664 is an apocalyptic number.

It is an amenable number.

45016265603664 is an abundant number, since it is smaller than the sum of its proper divisors (89391231765936).

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

45016265603664 is a wasteful number, since it uses less digits than its factorization.

45016265603664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19852450 (or 19852438 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 45016265603664 in words is "forty-five trillion, sixteen billion, two hundred sixty-five million, six hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 181 216 232 261 348 362 432 464 522 543 696 724 783 1044 1086 1392 1448 1566 1629 2088 2172 2896 3132 3258 4176 4344 4887 5249 6264 6516 8688 9774 10498 12528 13032 15747 19548 20996 26064 31494 39096 41992 47241 62988 78192 83984 94482 125976 141723 188964 251952 283446 377928 566892 755856 1133784 2267568 19852223 39704446 59556669 79408892 119113338 158817784 178670007 238226676 317635568 357340014 476453352 536010021 575714467 714680028 952906704 1072020042 1151428934 1429360056 1727143401 2144040084 2302857868 2858720112 3454286802 3593252363 4288080168 4605715736 5181430203 6908573604 7186504726 8576160336 9211431472 10362860406 10779757089 13817147208 14373009452 15544290609 20725720812 21559514178 27634294416 28746018904 31088581218 32339271267 41451441624 43119028356 57492037808 62177162436 64678542534 82902883248 86238056712 97017813801 104204318527 124354324872 129357085068 172476113424 194035627602 208408637054 248708649744 258714170136 312612955581 388071255204 416817274108 517428340272 625225911162 776142510408 833634548216 937838866743 1250451822324 1552285020816 1667269096432 1875677733486 2500903644648 2813516600229 3751355466972 5001807289296 5627033200458 7502710933944 11254066400916 15005421867888 22508132801832 45016265603664