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34497735712 = 2511891101179
BaseRepresentation
bin100000001000001110…
…011010110000100000
310022001012120112212021
4200020032122300200
51031122410020322
623503102111224
72330612625646
oct401016326040
9108035515767
1034497735712
11136a3088490
12682927b514
13333a15808b
141953925196
15d6d91b4c7
hex80839ac20

34497735712 has 48 divisors (see below), whose sum is σ = 74924287200. Its totient is φ = 15504586240.

The previous prime is 34497735703. The next prime is 34497735763. The reversal of 34497735712 is 21753779443.

It is a self number, because there is not a number n which added to its sum of digits gives 34497735712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519262 + ... + 581917.

It is an arithmetic number, because the mean of its divisors is an integer number (1560922650).

Almost surely, 234497735712 is an apocalyptic number.

34497735712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34497735712 is an abundant number, since it is smaller than the sum of its proper divisors (40426551488).

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

34497735712 is a wasteful number, since it uses less digits than its factorization.

34497735712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101289 (or 1101281 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 52.

It can be divided in two parts, 344977 and 35712, that added together give a square (380689 = 6172).

The spelling of 34497735712 in words is "thirty-four billion, four hundred ninety-seven million, seven hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2848 3916 7832 15664 31328 1101179 2202358 4404716 8809432 12112969 17618864 24225938 35237728 48451876 96903752 98004931 193807504 196009862 387615008 392019724 784039448 1078054241 1568078896 2156108482 3136157792 4312216964 8624433928 17248867856 34497735712