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34738742752 = 257179122569
BaseRepresentation
bin100000010110100101…
…110010010111100000
310022200000001222100221
4200112211302113200
51032121104232002
623543031452424
72336600304250
oct402645622740
9108600058327
1034738742752
111380712965a
126895b27114
13337806c3ac
14197793d960
15d84b75c37
hex8169725e0

34738742752 has 48 divisors (see below), whose sum is σ = 82759955040. Its totient is φ = 14012264448.

The previous prime is 34738742747. The next prime is 34738742791. The reversal of 34738742752 is 25724783743.

It is a self number, because there is not a number n which added to its sum of digits gives 34738742752.

It is a congruent number.

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, 4557477 + ... + 4565092.

It is an arithmetic number, because the mean of its divisors is an integer number (1724165730).

Almost surely, 234738742752 is an apocalyptic number.

34738742752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34738742752 is an abundant number, since it is smaller than the sum of its proper divisors (48021212288).

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

34738742752 is a wasteful number, since it uses less digits than its factorization.

34738742752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122603 (or 9122595 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 52.

The spelling of 34738742752 in words is "thirty-four billion, seven hundred thirty-eight million, seven hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 9122569 18245138 36490276 63857983 72980552 127715966 145961104 155083673 255431932 291922208 310167346 510863864 620334692 1021727728 1085585711 1240669384 2043455456 2171171422 2481338768 4342342844 4962677536 8684685688 17369371376 34738742752