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9712712380 = 2257237267863
BaseRepresentation
bin10010000101110110…
…00011101010111100
3221001220011220121011
421002323003222330
5124342423244010
64243441045004
7462455456500
oct110273035274
927056156534
109712712380
114134633628
121a70926764
13bba3209b7
14681d3c300
153bca60a8a
hex242ec3abc

9712712380 has 72 divisors (see below), whose sum is σ = 24368123808. Its totient is φ = 3240058752.

The previous prime is 9712712371. The next prime is 9712712381. The reversal of 9712712380 is 832172179.

It is a happy number.

9712712380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9712712381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97672 + ... + 170191.

It is an arithmetic number, because the mean of its divisors is an integer number (338446164).

Almost surely, 29712712380 is an apocalyptic number.

It is an amenable number.

9712712380 is an abundant number, since it is smaller than the sum of its proper divisors (14655411428).

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

9712712380 is a wasteful number, since it uses less digits than its factorization.

9712712380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267923 (or 267914 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 9712712380 is about 98553.0942182943. The cubic root of 9712712380 is about 2133.6024895317.

The spelling of 9712712380 in words is "nine billion, seven hundred twelve million, seven hundred twelve thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 7252 9065 18130 36260 267863 535726 1071452 1339315 1875041 2678630 3750082 5357260 7500164 9375205 9910931 13125287 18750410 19821862 26250574 37500820 39643724 49554655 52501148 65626435 69376517 99109310 131252870 138753034 198218620 262505740 277506068 346882585 485635619 693765170 971271238 1387530340 1942542476 2428178095 4856356190 9712712380