Search a number
-
+
3197125864960 = 2957117589821
BaseRepresentation
bin101110100001100011100…
…011010010111000000000
3102022122100012100202212121
4232201203203102320000
5404340203210134320
610444423410534024
7446661521314456
oct56414343227000
912278305322777
103197125864960
111022991224765
1243775ab97314
131a2645566151
14b0a553b69d6
15582706d78aa
hex2e8638d2e00

3197125864960 has 80 divisors (see below), whose sum is σ = 7773575575392. Its totient is φ = 1260838297600.

The previous prime is 3197125864939. The next prime is 3197125864987. The reversal of 3197125864960 is 694685217913.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×31971258649602 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8613151 + ... + 8976670.

It is a 1-persistent number, because it is pandigital, but 2⋅3197125864960 = 6394251729920 is not.

Almost surely, 23197125864960 is an apocalyptic number.

It is an amenable number.

3197125864960 is an abundant number, since it is smaller than the sum of its proper divisors (4576449710432).

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

3197125864960 is an equidigital number, since it uses as much as digits as its factorization.

3197125864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17589915 (or 17589899 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 3197125864960 in words is "three trillion, one hundred ninety-seven billion, one hundred twenty-five million, eight hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 512 568 640 710 1136 1280 1420 2272 2560 2840 4544 5680 9088 11360 18176 22720 36352 45440 90880 181760 17589821 35179642 70359284 87949105 140718568 175898210 281437136 351796420 562874272 703592840 1125748544 1248877291 1407185680 2251497088 2497754582 2814371360 4502994176 4995509164 5628742720 6244386455 9005988352 9991018328 11257485440 12488772910 19982036656 22514970880 24977545820 39964073312 45029941760 49955091640 79928146624 99910183280 159856293248 199820366560 319712586496 399640733120 639425172992 799281466240 1598562932480 3197125864960