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4194666672 = 2437113110479
BaseRepresentation
bin1111101000000101…
…1000100010110000
3101211100000010220220
43322001120202300
532042313313142
61532122133040
7205643035620
oct37201304260
911740003826
104194666672
111862864179
12990951180
1351b05c2b1
142bb148880
151983c92ec
hexfa0588b0

4194666672 has 80 divisors (see below), whose sum is σ = 12493962240. Its totient is φ = 1187859456.

The previous prime is 4194666629. The next prime is 4194666703. The reversal of 4194666672 is 2766664914.

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 15 ways as a sum of consecutive naturals, for example, 17272 + ... + 93207.

It is an arithmetic number, because the mean of its divisors is an integer number (156174528).

Almost surely, 24194666672 is an apocalyptic number.

4194666672 is a gapful number since it is divisible by the number (42) 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 4194666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246981120).

4194666672 is an abundant number, since it is smaller than the sum of its proper divisors (8299295568).

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

4194666672 is a wasteful number, since it uses less digits than its factorization.

4194666672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110610 (or 110604 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 4194666672 is about 64766.2463942446. The cubic root of 4194666672 is about 1612.7454246717.

The spelling of 4194666672 in words is "four billion, one hundred ninety-four million, six hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 6328 9492 12656 18984 37968 110479 220958 331437 441916 662874 773353 883832 1325748 1546706 1767664 2320059 2651496 3093412 4640118 5302992 6186824 9280236 12373648 12484127 18560472 24968254 37120944 37452381 49936508 74904762 87388889 99873016 149809524 174777778 199746032 262166667 299619048 349555556 524333334 599238096 699111112 1048666668 1398222224 2097333336 4194666672