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45050107053480 = 233518119001109159
BaseRepresentation
bin10100011111001000010111…
…01000001100010110101000
312220111202012102022012010020
422033210023220030112220
521401100104401202410
6235451422232520440
712326522435531664
oct1217441350142650
9186452172265106
1045050107053480
1113399708a83531
125077019850120
131c1a28c6418a9
14b1a61889b8a4
15531ccb3cca70
hex28f90ba0c5a8

45050107053480 has 128 divisors (see below), whose sum is σ = 135905405126400. Its totient is φ = 11946251520000.

The previous prime is 45050107053439. The next prime is 45050107053491. The reversal of 45050107053480 is 8435070105054.

It is a happy number.

It is a super-2 number, since 2×450501070534802 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412647141 + ... + 412756299.

It is an arithmetic number, because the mean of its divisors is an integer number (1061760977550).

Almost surely, 245050107053480 is an apocalyptic number.

45050107053480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45050107053480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67952702563200).

45050107053480 is an abundant number, since it is smaller than the sum of its proper divisors (90855298072920).

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

45050107053480 is a wasteful number, since it uses less digits than its factorization.

45050107053480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128355 (or 128351 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 45050107053480 in words is "forty-five trillion, fifty billion, one hundred seven million, fifty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 7240 10860 19001 21720 38002 57003 76004 95005 109159 114006 152008 190010 218318 228012 285015 327477 380020 436636 456024 545795 570030 654954 760040 873272 1091590 1140060 1309908 1637385 2183180 2280120 2619816 3274770 3439181 4366360 6549540 6878362 10317543 13099080 13756724 17195905 19757779 20635086 27513448 34391810 39515558 41270172 51587715 59273337 68783620 79031116 82540344 98788895 103175430 118546674 137567240 158062232 197577790 206350860 237093348 296366685 395155580 412701720 474186696 592733370 790311160 1185466740 2074130159 2370933480 4148260318 6222390477 8296520636 10370650795 12444780954 16593041272 20741301590 24889561908 31111952385 41482603180 49779123816 62223904770 82965206360 124447809540 248895619080 375417558779 750835117558 1126252676337 1501670235116 1877087793895 2252505352674 3003340470232 3754175587790 4505010705348 5631263381685 7508351175580 9010021410696 11262526763370 15016702351160 22525053526740 45050107053480