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45332512000 = 28531416641
BaseRepresentation
bin101010001110000001…
…110011110100000000
311100000022010012202221
4222032001303310000
51220320110341000
632454145020424
73163244665006
oct521601636400
9140008105687
1045332512000
1118253026256
128951924714
134375a833c9
1422a08a6a76
1512a4c2061a
hexa8e073d00

45332512000 has 72 divisors (see below), whose sum is σ = 112929033672. Its totient is φ = 18132992000.

The previous prime is 45332511989. The next prime is 45332512037. The reversal of 45332512000 is 21523354.

It can be written as a sum of positive squares in 4 ways, for example, as 1192182784 + 44140329216 = 34528^2 + 210096^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676321 + ... + 740320.

It is an arithmetic number, because the mean of its divisors is an integer number (1568458801).

Almost surely, 245332512000 is an apocalyptic number.

45332512000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45332512000 is an abundant number, since it is smaller than the sum of its proper divisors (67596521672).

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

45332512000 is an equidigital number, since it uses as much as digits as its factorization.

45332512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416672 (or 1416648 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 45332512000 in words is "forty-five billion, three hundred thirty-two million, five hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 1416641 2833282 5666564 7083205 11333128 14166410 22666256 28332820 35416025 45332512 56665640 70832050 90665024 113331280 141664100 177080125 181330048 226662560 283328200 354160250 362660096 453325120 566656400 708320500 906650240 1133312800 1416641000 1813300480 2266625600 2833282000 4533251200 5666564000 9066502400 11333128000 22666256000 45332512000