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45080044920 = 23325791585093
BaseRepresentation
bin101001111110111110…
…101110010101111000
311022100201001120001100
4221332332232111320
51214310442414140
632413125451400
73154061026251
oct517676562570
9138321046040
1045080044920
1118133567a79
1288a1270b60
134335688ac1
142279147b28
15128c9a0530
hexa7efae578

45080044920 has 96 divisors (see below), whose sum is σ = 148364798400. Its totient is φ = 11869168896.

The previous prime is 45080044883. The next prime is 45080044927. The reversal of 45080044920 is 2944008054.

45080044920 is a `hidden beast` number, since 450 + 80 + 0 + 44 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45080044927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 764107 + ... + 820986.

It is an arithmetic number, because the mean of its divisors is an integer number (1545466650).

Almost surely, 245080044920 is an apocalyptic number.

45080044920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45080044920 is an abundant number, since it is smaller than the sum of its proper divisors (103284753480).

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

45080044920 is a wasteful number, since it uses less digits than its factorization.

45080044920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585189 (or 1585182 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45080044920 in words is "forty-five billion, eighty million, forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 14220 28440 1585093 3170186 4755279 6340372 7925465 9510558 12680744 14265837 15850930 19021116 23776395 28531674 31701860 38042232 47552790 57063348 63403720 71329185 95105580 114126696 125222347 142658370 190211160 250444694 285316740 375667041 500889388 570633480 626111735 751334082 1001778776 1127001123 1252223470 1502668164 1878335205 2254002246 2504446940 3005336328 3756670410 4508004492 5008893880 5635005615 7513340820 9016008984 11270011230 15026681640 22540022460 45080044920