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45507590604 = 2232710110317359
BaseRepresentation
bin101010011000011101…
…101011100111001100
311100110111120010110200
4222120131223213030
51221144420344404
632523401333500
73200502065160
oct523035534714
9140414503420
1045507590604
1118332937413
1289a0497290
1343a3123208
1422b9c3cca0
1512b52a5839
hexa9876b9cc

45507590604 has 144 divisors (see below), whose sum is σ = 134064752640. Its totient is φ = 12747715200.

The previous prime is 45507590573. The next prime is 45507590641. The reversal of 45507590604 is 40609570554.

45507590604 is a `hidden beast` number, since 4 + 5 + 50 + 7 + 590 + 6 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45507590604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2612877 + ... + 2630235.

Almost surely, 245507590604 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 45507590604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032376320).

45507590604 is an abundant number, since it is smaller than the sum of its proper divisors (88557162036).

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

45507590604 is a wasteful number, since it uses less digits than its factorization.

45507590604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17580 (or 17575 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 45507590604 in words is "forty-five billion, five hundred seven million, five hundred ninety thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 103 126 202 206 252 303 309 404 412 606 618 707 721 909 927 1212 1236 1414 1442 1818 1854 2121 2163 2828 2884 3636 3708 4242 4326 6363 6489 8484 8652 10403 12726 12978 17359 20806 25452 25956 31209 34718 41612 52077 62418 69436 72821 93627 104154 121513 124836 145642 156231 187254 208308 218463 243026 291284 312462 364539 374508 436926 486052 624924 655389 729078 873852 1093617 1310778 1458156 1753259 1787977 2187234 2621556 3506518 3575954 4374468 5259777 5363931 7013036 7151908 10519554 10727862 12272813 12515839 15779331 16091793 21039108 21455724 24545626 25031678 31558662 32183586 36818439 37547517 49091252 50063356 63117324 64367172 73636878 75095034 110455317 112642551 147273756 150190068 180585677 220910634 225285102 361171354 441821268 450570204 541757031 722342708 1083514062 1264099739 1625271093 2167028124 2528199478 3250542186 3792299217 5056398956 6501084372 7584598434 11376897651 15169196868 22753795302 45507590604