Search a number
-
+
79996587390720 = 283257111331223781
BaseRepresentation
bin10010001100000110101000…
…001011001011011100000000
3101111020121011201102111202200
4102030012220023023130000
540441131002333000340
6442045531440313200
722564364003325210
oct2214065013133400
9344217151374680
1079996587390720
11235423a90912a0
128b7ba5b312800
133583851b42ca0
1415a7bd9664240
1593ad65040330
hex48c1a82cb700

79996587390720 has 1728 divisors, whose sum is σ = 383609983131648. Its totient is φ = 14848966656000.

The previous prime is 79996587390719. The next prime is 79996587390737. The reversal of 79996587390720 is 2709378569997.

79996587390720 is a `hidden beast` number, since 7 + 9 + 9 + 9 + 6 + 587 + 3 + 9 + 0 + 7 + 20 = 666.

It is a super-2 number, since 2×799965873907202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 79996587390720.

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 191 ways as a sum of consecutive naturals, for example, 357365230 + ... + 357589010.

It is an arithmetic number, because the mean of its divisors is an integer number (221996518016).

Almost surely, 279996587390720 is an apocalyptic number.

79996587390720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79996587390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191804991565824).

79996587390720 is an abundant number, since it is smaller than the sum of its proper divisors (303613395740928).

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

79996587390720 is a wasteful number, since it uses less digits than its factorization.

79996587390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223870 (or 223853 counting only the distinct ones).

The product of its (nonzero) digits is 3240609120, while the sum is 81.

The spelling of 79996587390720 in words is "seventy-nine trillion, nine hundred ninety-six billion, five hundred eighty-seven million, three hundred ninety thousand, seven hundred twenty".