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45346715560 = 23519107557633
BaseRepresentation
bin101010001110110111…
…111111011110101000
311100001021211211101201
4222032313333132220
51220332224344220
632455413253544
73163506502546
oct521667773650
9140037754351
1045346715560
1118260047633
1289566342b4
1343789b7393
1422a2722d96
1512a60c8d0a
hexa8edff7a8

45346715560 has 64 divisors (see below), whose sum is σ = 108404049600. Its totient is φ = 17023389696.

The previous prime is 45346715551. The next prime is 45346715629. The reversal of 45346715560 is 6551764354.

It is a super-2 number, since 2×453467155602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45346715560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197497 + ... + 360136.

It is an arithmetic number, because the mean of its divisors is an integer number (1693813275).

Almost surely, 245346715560 is an apocalyptic number.

45346715560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45346715560 is an abundant number, since it is smaller than the sum of its proper divisors (63057334040).

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

45346715560 is a wasteful number, since it uses less digits than its factorization.

45346715560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557770 (or 557766 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 45346715560 in words is "forty-five billion, three hundred forty-six million, seven hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 107 152 190 214 380 428 535 760 856 1070 2033 2140 4066 4280 8132 10165 16264 20330 40660 81320 557633 1115266 2230532 2788165 4461064 5576330 10595027 11152660 21190054 22305320 42380108 52975135 59666731 84760216 105950270 119333462 211900540 238666924 298333655 423801080 477333848 596667310 1133667889 1193334620 2267335778 2386669240 4534671556 5668339445 9069343112 11336678890 22673357780 45346715560