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34841192992 = 252967755457
BaseRepresentation
bin100000011100101100…
…100110101000100000
310022221010211222200021
4200130230212220200
51032323321133432
624001131403224
72342253153064
oct403454465040
9108833758607
1034841192992
1113859a43a81
1269042b3514
133393360238
1419873abaa4
15d8db61697
hex81cb26a20

34841192992 has 48 divisors (see below), whose sum is σ = 71064990360. Its totient is φ = 16794738688.

The previous prime is 34841192989. The next prime is 34841193001. The reversal of 34841192992 is 29929114843.

It can be written as a sum of positive squares in 4 ways, for example, as 29458916496 + 5382276496 = 171636^2 + 73364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600528 + ... + 655984.

Almost surely, 234841192992 is an apocalyptic number.

34841192992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34841192992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35532495180).

34841192992 is an abundant number, since it is smaller than the sum of its proper divisors (36223797368).

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

34841192992 is a wasteful number, since it uses less digits than its factorization.

34841192992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56173 (or 56165 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The spelling of 34841192992 in words is "thirty-four billion, eight hundred forty-one million, one hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 677 928 1354 2708 5416 10832 19633 21664 39266 55457 78532 110914 157064 221828 314128 443656 628256 887312 1608253 1774624 3216506 6433012 12866024 25732048 37544389 51464096 75088778 150177556 300355112 600710224 1088787281 1201420448 2177574562 4355149124 8710298248 17420596496 34841192992