Search a number
-
+
79496297000640 = 26345133113954751
BaseRepresentation
bin10010000100110100101100…
…100010110010111011000000
3101102110202211121210110020000
4102010310230202302323000
540404431404013010030
6441024032241120000
722513263230222322
oct2204645442627300
9342422747713200
1079496297000640
112336a2102134a3
128abaab9029000
1335486127b0580
14158b8d9a4d612
1592cd33b9a860
hex484d2c8b2ec0

79496297000640 has 1120 divisors, whose sum is σ = 316625857658880. Its totient is φ = 18800501760000.

The previous prime is 79496297000581. The next prime is 79496297000689. The reversal of 79496297000640 is 4600079269497.

79496297000640 is a `hidden beast` number, since 79 + 496 + 2 + 9 + 70 + 0 + 0 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×794962970006402 (a number of 29 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 1451933265 + ... + 1451988015.

It is an arithmetic number, because the mean of its divisors is an integer number (282701658624).

Almost surely, 279496297000640 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 79496297000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158312928829440).

79496297000640 is an abundant number, since it is smaller than the sum of its proper divisors (237129560658240).

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

79496297000640 is a wasteful number, since it uses less digits than its factorization.

79496297000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54963 (or 54944 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 79496297000640 in words is "seventy-nine trillion, four hundred ninety-six billion, two hundred ninety-seven million, six hundred forty", and thus it is an aban number.