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97268297960 = 2352983851981
BaseRepresentation
bin101101010010110100…
…1000111000011101000
3100022001210110111112002
41122211221013003220
53043201141013320
6112403501110132
710012253614421
oct1324551070350
9308053414462
1097268297960
1138284466a09
1216a26b58348
1392318a63c2
1449ca338648
1527e44e1675
hex16a5a470e8

97268297960 has 32 divisors (see below), whose sum is σ = 226400351400. Its totient is φ = 37565687040.

The previous prime is 97268297953. The next prime is 97268297999. The reversal of 97268297960 is 6979286279.

It can be written as a sum of positive squares in 4 ways, for example, as 68624089444 + 28644208516 = 261962^2 + 169246^2 .

It is a super-2 number, since 2×972682979602 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

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, 41924831 + ... + 41927150.

Almost surely, 297268297960 is an apocalyptic number.

It is an amenable number.

97268297960 is an abundant number, since it is smaller than the sum of its proper divisors (129132053440).

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

97268297960 is a wasteful number, since it uses less digits than its factorization.

97268297960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83852021 (or 83852017 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 65.

The spelling of 97268297960 in words is "ninety-seven billion, two hundred sixty-eight million, two hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 83851981 167703962 335407924 419259905 670815848 838519810 1677039620 2431707449 3354079240 4863414898 9726829796 12158537245 19453659592 24317074490 48634148980 97268297960