Search a number
-
+
64614621472500 = 223541119112593257
BaseRepresentation
bin11101011000100010000111…
…00011110110011011110100
322110210002122001211000222010
432230101003203312123310
531432121221044110000
6345231314115404220
716416152361315351
oct1654210343663364
9273702561730863
1064614621472500
11196519a8359a40
1272b68b5bb3670
132a091955b95a8
1411d5515b69628
15770b9436dd50
hex3ac4438f66f4

64614621472500 has 480 divisors, whose sum is σ = 206829825269760. Its totient is φ = 15564982400000.

The previous prime is 64614621472241. The next prime is 64614621472501. The reversal of 64614621472500 is 527412641646.

It is a self number, because there is not a number n which added to its sum of digits gives 64614621472500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64614621472501) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19838690872 + ... + 19838694128.

It is an arithmetic number, because the mean of its divisors is an integer number (430895469312).

Almost surely, 264614621472500 is an apocalyptic number.

64614621472500 is a gapful number since it is divisible by the number (60) 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 64614621472500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103414912634880).

64614621472500 is an abundant number, since it is smaller than the sum of its proper divisors (142215203797260).

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

64614621472500 is a wasteful number, since it uses less digits than its factorization.

64614621472500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 64614621472500 in words is "sixty-four trillion, six hundred fourteen billion, six hundred twenty-one million, four hundred seventy-two thousand, five hundred".