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45425416320 = 273257886357
BaseRepresentation
bin101010010011100100…
…001101100010000000
311100020202221020112200
4222103210031202000
51221012401310240
632511304153200
73165453445044
oct522344154200
9140222836480
1045425416320
11182a0510689
128978a68800
13438c0b128b
1422acd6c024
1512ace72930
hexa9390d880

45425416320 has 96 divisors (see below), whose sum is σ = 156859660620. Its totient is φ = 12113442816.

The previous prime is 45425416301. The next prime is 45425416357. The reversal of 45425416320 is 2361452454.

45425416320 is a `hidden beast` number, since 4 + 54 + 2 + 541 + 63 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42988216896 + 2437199424 = 207336^2 + 49368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3937419 + ... + 3948938.

Almost surely, 245425416320 is an apocalyptic number.

45425416320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45425416320 is an abundant number, since it is smaller than the sum of its proper divisors (111434244300).

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

45425416320 is a wasteful number, since it uses less digits than its factorization.

45425416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886382 (or 7886367 counting only the distinct ones).

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

Adding to 45425416320 its reverse (2361452454), we get a palindrome (47786868774).

The spelling of 45425416320 in words is "forty-five billion, four hundred twenty-five million, four hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 7886357 15772714 23659071 31545428 39431785 47318142 63090856 70977213 78863570 94636284 118295355 126181712 141954426 157727140 189272568 236590710 252363424 283908852 315454280 354886065 378545136 473181420 504726848 567817704 630908560 709772130 757090272 946362840 1009453696 1135635408 1261817120 1419544260 1514180544 1892725680 2271270816 2523634240 2839088520 3028361088 3785451360 4542541632 5047268480 5678177040 7570902720 9085083264 11356354080 15141805440 22712708160 45425416320