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45146532420 = 223251129786251
BaseRepresentation
bin101010000010111100…
…010110101001000100
311022112100011110202100
4222002330112221010
51214430003014140
632423502512100
73155526123333
oct520274265104
9138470143670
1045146532420
111816804a020
1288bb595630
134346397912
142283cd3d1a
151293735530
hexa82f16a44

45146532420 has 144 divisors (see below), whose sum is σ = 154545693120. Its totient is φ = 10567200000.

The previous prime is 45146532419. The next prime is 45146532427. The reversal of 45146532420 is 2423564154.

45146532420 is a `hidden beast` number, since 45 + 1 + 46 + 532 + 42 + 0 = 666.

It is a super-2 number, since 2×451465324202 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45146532427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335706 + ... + 450545.

It is an arithmetic number, because the mean of its divisors is an integer number (1073233980).

Almost surely, 245146532420 is an apocalyptic number.

It is an amenable number.

45146532420 is an abundant number, since it is smaller than the sum of its proper divisors (109399160700).

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

45146532420 is a wasteful number, since it uses less digits than its factorization.

45146532420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786306 (or 786301 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45146532420 in words is "forty-five billion, one hundred forty-six million, five hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 786251 1572502 2358753 3145004 3931255 4717506 7076259 7862510 8648761 9435012 11793765 14152518 15725020 17297522 22801279 23587530 25946283 28305036 34595044 35381295 43243805 45602558 47175060 51892566 68403837 70762590 77838849 86487610 91205116 103785132 114006395 129731415 136807674 141525180 155677698 172975220 205211511 228012790 250814069 259462830 273615348 311355396 342019185 389194245 410423022 456025580 501628138 518925660 684038370 752442207 778388490 820846044 1003256276 1026057555 1254070345 1368076740 1504884414 1556776980 2052115110 2257326621 2508140690 3009768828 3762211035 4104230220 4514653242 5016281380 7524422070 9029306484 11286633105 15048844140 22573266210 45146532420