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3074066010756 = 2232138537700489
BaseRepresentation
bin101100101110111100100…
…111001101001010000100
3101212212200221112110111200
4230232330213031022010
5400331141344321011
610312112331102500
7435044135650356
oct54567447151204
911785627473450
103074066010756
11a85782138914
124179365a1a30
13193b6346ba80
14a8add9270d6
1554e6bcb8856
hex2cbbc9cd284

3074066010756 has 72 divisors (see below), whose sum is σ = 8378102318040. Its totient is φ = 944757471744.

The previous prime is 3074066010737. The next prime is 3074066010877. The reversal of 3074066010756 is 6570106604703.

3074066010756 is a `hidden beast` number, since 30 + 7 + 4 + 0 + 6 + 601 + 0 + 7 + 5 + 6 = 666.

3074066010756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 358274073600 + 2715791937156 = 598560^2 + 1647966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3451041 + ... + 4249448.

It is an arithmetic number, because the mean of its divisors is an integer number (116362532195).

Almost surely, 23074066010756 is an apocalyptic number.

3074066010756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3074066010756 is an abundant number, since it is smaller than the sum of its proper divisors (5304036307284).

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

3074066010756 is a wasteful number, since it uses less digits than its factorization.

3074066010756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701365 (or 7701360 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3074066010756 in words is "three trillion, seventy-four billion, sixty-six million, ten thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 853 1706 2559 3412 5118 7677 10236 11089 15354 22178 30708 33267 44356 66534 99801 133068 199602 399204 7700489 15400978 23101467 30801956 46202934 69304401 92405868 100106357 138608802 200212714 277217604 300319071 400425428 600638142 900957213 1201276284 1801914426 3603828852 6568517117 13137034234 19705551351 26274068468 39411102702 59116654053 78822205404 85390722521 118233308106 170781445042 236466616212 256172167563 341562890084 512344335126 768516502689 1024688670252 1537033005378 3074066010756