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45214134528 = 283232559677
BaseRepresentation
bin101010000110111110…
…001111000100000000
311022201001101000102010
4222012332033010000
51220044304301103
632434315452520
73160306542123
oct520676170400
9138631330363
1045214134528
11181a2222532
12891a157140
1343573a6b74
14228cc903ba
15129963a903
hexa86f8f100

45214134528 has 72 divisors (see below), whose sum is σ = 125567563968. Its totient is φ = 14416095232.

The previous prime is 45214134527. The next prime is 45214134571. The reversal of 45214134528 is 82543141254.

It is a super-2 number, since 2×452141345282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45214134521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262175 + ... + 1297502.

It is an arithmetic number, because the mean of its divisors is an integer number (1743993944).

Almost surely, 245214134528 is an apocalyptic number.

45214134528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45214134528 is an abundant number, since it is smaller than the sum of its proper divisors (80353429440).

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

45214134528 is a wasteful number, since it uses less digits than its factorization.

45214134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559719 (or 2559705 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The spelling of 45214134528 in words is "forty-five billion, two hundred fourteen million, one hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8832 17664 2559677 5119354 7679031 10238708 15358062 20477416 30716124 40954832 58872571 61432248 81909664 117745142 122864496 163819328 176617713 235490284 245728992 327638656 353235426 470980568 491457984 655277312 706470852 941961136 982915968 1412941704 1883922272 1965831936 2825883408 3767844544 5651766816 7535689088 11303533632 15071378176 22607067264 45214134528