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34099842516 = 22341223310801
BaseRepresentation
bin11111110000100000…
…100100110111010100
310021000110212111000020
4133300200210313110
51024314024430031
623355405545140
72315011610325
oct376040446724
9107013774006
1034099842516
1113509521433
126737b751b0
1332a58a370c
141916b4c44c
15d48a22096
hex7f0824dd4

34099842516 has 48 divisors (see below), whose sum is σ = 81872706048. Its totient is φ = 11039616000.

The previous prime is 34099842509. The next prime is 34099842521. The reversal of 34099842516 is 61524899043.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45685 + ... + 265116.

It is an arithmetic number, because the mean of its divisors is an integer number (1705681376).

Almost surely, 234099842516 is an apocalyptic number.

It is an amenable number.

34099842516 is an abundant number, since it is smaller than the sum of its proper divisors (47772863532).

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

34099842516 is a wasteful number, since it uses less digits than its factorization.

34099842516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311072 (or 311070 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 34099842516 in words is "thirty-four billion, ninety-nine million, eight hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 41 82 123 164 223 246 446 492 669 892 1338 2676 9143 18286 27429 36572 54858 109716 310801 621602 932403 1243204 1864806 3729612 12742841 25485682 38228523 50971364 69308623 76457046 138617246 152914092 207925869 277234492 415851738 831703476 2841653543 5683307086 8524960629 11366614172 17049921258 34099842516