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45002531142560 = 2551873150168617
BaseRepresentation
bin10100011101101111101111…
…11000011111101110100000
312220100012101202211111120102
422032313313320133232200
521344310140433030220
6235413513304001532
712323216450132225
oct1216676770375640
9186305352744512
1045002531142560
1113380514686492
1250699607602a8
131c15949b73204
14b181c409b94c
1553094476b775
hex28edf7e1fba0

45002531142560 has 48 divisors (see below), whose sum is σ = 106375244269896. Its totient is φ = 17991401545728.

The previous prime is 45002531142533. The next prime is 45002531142571. The reversal of 45002531142560 is 6524113520054.

It can be written as a sum of positive squares in 4 ways, for example, as 17195850716944 + 27806680425616 = 4146788^2 + 5273204^2 .

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, 74784629 + ... + 75383988.

Almost surely, 245002531142560 is an apocalyptic number.

45002531142560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45002531142560 is an abundant number, since it is smaller than the sum of its proper divisors (61372713127336).

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

45002531142560 is a wasteful number, since it uses less digits than its factorization.

45002531142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150170505 (or 150170497 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 45002531142560 in words is "forty-five trillion, two billion, five hundred thirty-one million, one hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1873 3746 7492 9365 14984 18730 29968 37460 59936 74920 149840 299680 150168617 300337234 600674468 750843085 1201348936 1501686170 2402697872 3003372340 4805395744 6006744680 12013489360 24026978720 281265819641 562531639282 1125063278564 1406329098205 2250126557128 2812658196410 4500253114256 5625316392820 9000506228512 11250632785640 22501265571280 45002531142560