Search a number
-
+
78048624822102 = 233111997163437387
BaseRepresentation
bin10001101111110000011100…
…100011101100011101010110
3101020100101010212012001212000
4101233300130203230131112
540212222040423301402
6433555013202140130
722303553452564104
oct2157603443543526
9336311125161760
1078048624822102
1122961265a96950
12890641a651646
133471c524a033c
14153b805d44c74
15905355710c1c
hex46fc1c8ec756

78048624822102 has 256 divisors, whose sum is σ = 202455358156800. Its totient is φ = 22039215713280.

The previous prime is 78048624822089. The next prime is 78048624822131. The reversal of 78048624822102 is 20122842684087.

It is a happy number.

78048624822102 is a `hidden beast` number, since 7 + 8 + 0 + 4 + 8 + 624 + 8 + 2 + 2 + 1 + 0 + 2 = 666.

It is a super-2 number, since 2×780486248221022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178224253 + ... + 178661639.

It is an arithmetic number, because the mean of its divisors is an integer number (790841242800).

Almost surely, 278048624822102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78048624822102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101227679078400).

78048624822102 is an abundant number, since it is smaller than the sum of its proper divisors (124406733334698).

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

78048624822102 is a wasteful number, since it uses less digits than its factorization.

78048624822102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437688 (or 437682 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 78048624822102 in words is "seventy-eight trillion, forty-eight billion, six hundred twenty-four million, eight hundred twenty-two thousand, one hundred two".