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45294053984 = 254146174887
BaseRepresentation
bin101010001011101111…
…000110101001100000
311022220121202100021222
4222023233012221200
51220230234211414
632450252434212
73162300051344
oct521357065140
9138817670258
1045294053984
1118233349173
128940a78968
13436ab0969a
142299735624
1512a167568e
hexa8bbc6a60

45294053984 has 48 divisors (see below), whose sum is σ = 91546985376. Its totient is φ = 22046438400.

The previous prime is 45294053983. The next prime is 45294054011. The reversal of 45294053984 is 48935049254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45294053983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567389 + ... + 642275.

It is an arithmetic number, because the mean of its divisors is an integer number (1907228862).

Almost surely, 245294053984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45294053984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45773492688).

45294053984 is an abundant number, since it is smaller than the sum of its proper divisors (46252931392).

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

45294053984 is a wasteful number, since it uses less digits than its factorization.

45294053984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75399 (or 75391 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 45294053984 in words is "forty-five billion, two hundred ninety-four million, fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 461 656 922 1312 1844 3688 7376 14752 18901 37802 74887 75604 149774 151208 299548 302416 599096 604832 1198192 2396384 3070367 6140734 12281468 24562936 34522907 49125872 69045814 98251744 138091628 276183256 552366512 1104733024 1415439187 2830878374 5661756748 11323513496 22647026992 45294053984