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45058127040 = 263355215061
BaseRepresentation
bin101001111101101011…
…000111010011000000
311022022011211000101000
4221331223013103000
51214234340031130
632411024012000
73153403521603
oct517553072300
9138264730330
1045058127040
1118122157823
128895a61000
134330c83744
14227628033a
15128aac1260
hexa7dac74c0

45058127040 has 112 divisors (see below), whose sum is σ = 158955089760. Its totient is φ = 12015498240.

The previous prime is 45058126999. The next prime is 45058127057. The reversal of 45058127040 is 4072185054.

45058127040 is a `hidden beast` number, since 4 + 5 + 0 + 581 + 2 + 70 + 4 + 0 = 666.

45058127040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45058126986 and 45058127004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598891 + ... + 2616170.

Almost surely, 245058127040 is an apocalyptic number.

45058127040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45058127040 is an abundant number, since it is smaller than the sum of its proper divisors (113896962720).

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

45058127040 is a wasteful number, since it uses less digits than its factorization.

45058127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215087 (or 5215071 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 45058127040 in words is "forty-five billion, fifty-eight million, one hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 5215061 10430122 15645183 20860244 26075305 31290366 41720488 46935549 52150610 62580732 78225915 83440976 93871098 104301220 125161464 140806647 156451830 166881952 187742196 208602440 234677745 250322928 281613294 312903660 333763904 375484392 417204880 469355490 500645856 563226588 625807320 704033235 750968784 834409760 938710980 1001291712 1126453176 1251614640 1408066470 1501937568 1668819520 1877421960 2252906352 2503229280 2816132940 3003875136 3754843920 4505812704 5006458560 5632265880 7509687840 9011625408 11264531760 15019375680 22529063520 45058127040