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3073812088680 = 2332556957149909
BaseRepresentation
bin101100101110101101011…
…110100100011101101000
3101212212001020201212220100
4230232231132210131220
5400330131343314210
610312031220425400
7435034633441644
oct54565536443550
911785036655810
103073812088680
11a85661876463
12417885548260
13193b22985118
14a8ab7d09c24
1554e5485c5c0
hex2cbad7a4768

3073812088680 has 96 divisors (see below), whose sum is σ = 9990131322600. Its totient is φ = 819663364608.

The previous prime is 3073812088663. The next prime is 3073812088717. The reversal of 3073812088680 is 868802183703.

It can be written as a sum of positive squares in 4 ways, for example, as 1221692511204 + 1852119577476 = 1105302^2 + 1360926^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20429566 + ... + 20579474.

Almost surely, 23073812088680 is an apocalyptic number.

3073812088680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3073812088680 is an abundant number, since it is smaller than the sum of its proper divisors (6916319233920).

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

3073812088680 is a wasteful number, since it uses less digits than its factorization.

3073812088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206883 (or 206876 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 3073812088680 in words is "three trillion, seventy-three billion, eight hundred twelve million, eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 56957 113914 149909 170871 227828 284785 299818 341742 449727 455656 512613 569570 599636 683484 749545 854355 899454 1025226 1139140 1199272 1349181 1366968 1499090 1708710 1798908 2050452 2248635 2278280 2563065 2698362 2998180 3417420 3597816 4100904 4497270 5126130 5396724 5996360 6745905 6834840 8994540 10252260 10793448 13491810 17989080 20504520 26983620 53967240 8538366913 17076733826 25615100739 34153467652 42691834565 51230201478 68306935304 76845302217 85383669130 102460402956 128075503695 153690604434 170767338260 204920805912 256151007390 307381208868 341534676520 384226511085 512302014780 614762417736 768453022170 1024604029560 1536906044340 3073812088680