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71792192920 = 23571125722777
BaseRepresentation
bin100001011011100100…
…1011110110110011000
320212022022200021101011
41002313021132312120
52134012300133140
652551511503304
75121035366620
oct1026711366630
9225268607334
1071792192920
11284a0904148
1211ab7087b34
136a01833036
143690a59880
151d02b25cea
hex10b725ed98

71792192920 has 64 divisors (see below), whose sum is σ = 184633001280. Its totient is φ = 24611198976.

The previous prime is 71792192851. The next prime is 71792192947. The reversal of 71792192920 is 2929129717.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3140572 + ... + 3163348.

It is an arithmetic number, because the mean of its divisors is an integer number (2884890645).

Almost surely, 271792192920 is an apocalyptic number.

71792192920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71792192920 is an abundant number, since it is smaller than the sum of its proper divisors (112840808360).

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

71792192920 is a wasteful number, since it uses less digits than its factorization.

71792192920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34052 (or 34048 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 49.

The spelling of 71792192920 in words is "seventy-one billion, seven hundred ninety-two million, one hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 11257 22514 22777 45028 45554 56285 78799 90056 91108 112570 113885 157598 159439 182216 225140 227770 315196 318878 393995 450280 455540 630392 637756 787990 797195 911080 1275512 1575980 1594390 3151960 3188780 6377560 256400689 512801378 1025602756 1282003445 1794804823 2051205512 2564006890 3589609646 5128013780 7179219292 8974024115 10256027560 14358438584 17948048230 35896096460 71792192920