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68146807332 = 223294119924001
BaseRepresentation
bin111111011101110111…
…011100001000100100
320111220021020111110010
4333131313130020210
52104031040313312
651150050330220
74631512206402
oct773567341044
9214807214403
1068146807332
11269a0106a8a
121125a289970
136570521c46
143426854472
151b8ca9b93c
hexfddddc224

68146807332 has 96 divisors (see below), whose sum is σ = 169358112000. Its totient is φ = 21288960000.

The previous prime is 68146807331. The next prime is 68146807343. The reversal of 68146807332 is 23370864186.

It is not an unprimeable number, because it can be changed into a prime (68146807331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2827332 + ... + 2851332.

It is an arithmetic number, because the mean of its divisors is an integer number (1764147000).

Almost surely, 268146807332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68146807332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84679056000).

68146807332 is an abundant number, since it is smaller than the sum of its proper divisors (101211304668).

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

68146807332 is a wasteful number, since it uses less digits than its factorization.

68146807332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24275 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 68146807332 in words is "sixty-eight billion, one hundred forty-six million, eight hundred seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 199 246 348 398 492 597 796 1189 1194 2378 2388 3567 4756 5771 7134 8159 11542 14268 16318 17313 23084 24001 24477 32636 34626 48002 48954 69252 72003 96004 97908 144006 236611 288012 473222 696029 709833 946444 984041 1392058 1419666 1968082 2088087 2784116 2839332 2952123 3936164 4176174 4776199 5904246 8352348 9552398 11808492 14328597 19104796 28537189 28657194 57074378 57314388 85611567 114148756 138509771 171223134 195824159 277019542 342446268 391648318 415529313 554039084 587472477 783296636 831058626 1174944954 1662117252 2349889908 5678900611 11357801222 17036701833 22715602444 34073403666 68146807332