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34149002496 = 28376352121
BaseRepresentation
bin11111110011011100…
…000110110100000000
310021010220101001211020
4133303130012310000
51024414121034441
623404323345440
72316146506020
oct376334066400
9107126331736
1034149002496
1113534249014
126750522280
1332b2b2666b
14191d4a7a80
15d4ced2e66
hex7f3706d00

34149002496 has 72 divisors (see below), whose sum is σ = 103869898944. Its totient is φ = 9756856320.

The previous prime is 34149002479. The next prime is 34149002513. The reversal of 34149002496 is 69420094143.

It is an interprime number because it is at equal distance from previous prime (34149002479) and next prime (34149002513).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 3170685 + ... + 3181436.

Almost surely, 234149002496 is an apocalyptic number.

It is an amenable number.

34149002496 is an abundant number, since it is smaller than the sum of its proper divisors (69720896448).

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

34149002496 is an equidigital number, since it uses as much as digits as its factorization.

34149002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352147 (or 6352133 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 34149002496 in words is "thirty-four billion, one hundred forty-nine million, two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 6352121 12704242 19056363 25408484 38112726 44464847 50816968 76225452 88929694 101633936 133394541 152450904 177859388 203267872 266789082 304901808 355718776 406535744 533578164 609803616 711437552 813071488 1067156328 1219607232 1422875104 1626142976 2134312656 2439214464 2845750208 4268625312 4878428928 5691500416 8537250624 11383000832 17074501248 34149002496