Search a number
-
+
246828664920 = 233579151269641
BaseRepresentation
bin1110010111100000100…
…0101000100001011000
3212121002220200100020110
43211320020220201120
513021001114234140
6305220322524320
723555434014615
oct3457010504130
9777086610213
10246828664920
119575238a272
123ba065066a0
131a378048766
14bd3756950c
1566496ce380
hex3978228858

246828664920 has 256 divisors, whose sum is σ = 758813184000. Its totient is φ = 64217088000.

The previous prime is 246828664879. The next prime is 246828664921. The reversal of 246828664920 is 29466828642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246828664921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385067800 + ... + 385068440.

It is an arithmetic number, because the mean of its divisors is an integer number (2964114000).

Almost surely, 2246828664920 is an apocalyptic number.

246828664920 is a gapful number since it is divisible by the number (20) 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 246828664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379406592000).

246828664920 is an abundant number, since it is smaller than the sum of its proper divisors (511984519080).

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

246828664920 is a wasteful number, since it uses less digits than its factorization.

246828664920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 246828664920 in words is "two hundred forty-six billion, eight hundred twenty-eight million, six hundred sixty-four thousand, nine hundred twenty".