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45200132160 = 263547083471
BaseRepresentation
bin101010000110001000…
…110100100001000000
311022200002000121202220
4222012020310201000
51220032213212120
632433055411040
73160046532651
oct520610644100
9138602017686
1045200132160
1118195329327
128915523a80
134354513641
14228b087528
1512982c1b40
hexa86234840

45200132160 has 56 divisors (see below), whose sum is σ = 143510422656. Its totient is φ = 12053368320.

The previous prime is 45200132123. The next prime is 45200132183. The reversal of 45200132160 is 6123100254.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45200132160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23540776 + ... + 23542695.

Almost surely, 245200132160 is an apocalyptic number.

45200132160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45200132160 is an abundant number, since it is smaller than the sum of its proper divisors (98310290496).

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

45200132160 is a wasteful number, since it uses less digits than its factorization.

45200132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47083491 (or 47083481 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 45200132160 in words is "forty-five billion, two hundred million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 47083471 94166942 141250413 188333884 235417355 282500826 376667768 470834710 565001652 706252065 753335536 941669420 1130003304 1412504130 1506671072 1883338840 2260006608 2825008260 3013342144 3766677680 4520013216 5650016520 7533355360 9040026432 11300033040 15066710720 22600066080 45200132160