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78968267922852 = 223273113171092593
BaseRepresentation
bin10001111101001000111011…
…100011101101110110100100
3101100121021220100221001121100
4101331020323203231312210
540322304003042012402
6435541304345320100
722430161203141000
oct2175107343556644
9340537810831540
1078968267922852
11231862885a9000
128a346b5196030
13350a8a2703789
14157012806b700
1591e22c4aa71c
hex47d23b8edda4

78968267922852 has 1152 divisors, whose sum is σ = 273701780352000. Its totient is φ = 19120211066880.

The previous prime is 78968267922769. The next prime is 78968267922857. The reversal of 78968267922852 is 25822976286987.

It is a happy number.

78968267922852 is a `hidden beast` number, since 7 + 89 + 6 + 8 + 267 + 9 + 228 + 52 = 666.

It is a super-2 number, since 2×789682679228522 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78968267922857) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30454402068 + ... + 30454404660.

It is an arithmetic number, because the mean of its divisors is an integer number (237588351000).

Almost surely, 278968267922852 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 78968267922852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136850890176000).

78968267922852 is an abundant number, since it is smaller than the sum of its proper divisors (194733512429148).

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

78968267922852 is a wasteful number, since it uses less digits than its factorization.

78968267922852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2742 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 78968267922852 in words is "seventy-eight trillion, nine hundred sixty-eight billion, two hundred sixty-seven million, nine hundred twenty-two thousand, eight hundred fifty-two".