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6427226831100 = 22352151141881387
BaseRepresentation
bin101110110000111010010…
…0100100111100011111100
3211202102210111012020200220
41131201310210213203330
51320300430032043400
621400343252421340
71232231446442415
oct135416444474374
924672714166626
106427226831100
112058853a96a59
12879781317850
1337811466b78a
14183117d9c80c
15b22c0cc07a0
hex5d8749278fc

6427226831100 has 72 divisors (see below), whose sum is σ = 18719262807168. Its totient is φ = 1702576632000.

The previous prime is 6427226831041. The next prime is 6427226831111. The reversal of 6427226831100 is 11386227246.

It is a congruent number.

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, 70895394 + ... + 70985993.

Almost surely, 26427226831100 is an apocalyptic number.

6427226831100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6427226831100 is an abundant number, since it is smaller than the sum of its proper divisors (12292035976068).

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

6427226831100 is a wasteful number, since it uses less digits than its factorization.

6427226831100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141881555 (or 141881548 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 6427226831100 in words is "six trillion, four hundred twenty-seven billion, two hundred twenty-six million, eight hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 755 906 1510 1812 2265 3020 3775 4530 7550 9060 11325 15100 22650 45300 141881387 283762774 425644161 567525548 709406935 851288322 1418813870 1702576644 2128220805 2837627740 3547034675 4256441610 7094069350 8512883220 10641104025 14188138700 21282208050 21424089437 42564416100 42848178874 64272268311 85696357748 107120447185 128544536622 214240894370 257089073244 321361341555 428481788740 535602235925 642722683110 1071204471850 1285445366220 1606806707775 2142408943700 3213613415550 6427226831100