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742253357088 = 25324795380519
BaseRepresentation
bin10101100110100011011…
…11110110100000100000
32121221212220122100001100
422303101233312200200
544130113324411323
61324553025234400
7104424505302345
oct12632157664040
92557786570040
10742253357088
11266873740221
12bba2b192a00
1354cc0313299
1427cd4c7c7cc
15144937ea943
hexacd1bf6820

742253357088 has 72 divisors (see below), whose sum is σ = 2115190022400. Its totient is φ = 246901209984.

The previous prime is 742253357029. The next prime is 742253357149. The reversal of 742253357088 is 880753352247.

742253357088 is a `hidden beast` number, since 7 + 4 + 22 + 533 + 5 + 7 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7422533570882 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552308 + ... + 2828211.

It is an arithmetic number, because the mean of its divisors is an integer number (29377639200).

Almost surely, 2742253357088 is an apocalyptic number.

It is an amenable number.

742253357088 is an abundant number, since it is smaller than the sum of its proper divisors (1372936665312).

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

742253357088 is a wasteful number, since it uses less digits than its factorization.

742253357088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381014 (or 5381003 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 742253357088 in words is "seven hundred forty-two billion, two hundred fifty-three million, three hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 479 958 1437 1916 2874 3832 4311 5748 7664 8622 11496 15328 17244 22992 34488 45984 68976 137952 5380519 10761038 16141557 21522076 32283114 43044152 48424671 64566228 86088304 96849342 129132456 172176608 193698684 258264912 387397368 516529824 774794736 1549589472 2577268601 5154537202 7731805803 10309074404 15463611606 20618148808 23195417409 30927223212 41236297616 46390834818 61854446424 82472595232 92781669636 123708892848 185563339272 247417785696 371126678544 742253357088