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215089655040 = 28345131937227
BaseRepresentation
bin1100100001010001010…
…1111010110100000000
3202120011222010120210000
43020110111322310000
512011000422430130
6242451045440000
721353056621251
oct3102425726400
9676158116700
10215089655040
1183245559397
1235829110000
131738a5c9140
14a5a61a2b28
1558dd098260
hex321457ad00

215089655040 has 1440 divisors, whose sum is σ = 899982357120. Its totient is φ = 48587931648.

The previous prime is 215089654991. The next prime is 215089655047. The reversal of 215089655040 is 40556980512.

215089655040 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 8 + 96 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215089655047) 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, 947531407 + ... + 947531633.

It is an arithmetic number, because the mean of its divisors is an integer number (624987748).

Almost surely, 2215089655040 is an apocalyptic number.

215089655040 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 215089655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449991178560).

215089655040 is an abundant number, since it is smaller than the sum of its proper divisors (684892702080).

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

215089655040 is a wasteful number, since it uses less digits than its factorization.

215089655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 215089655040 in words is "two hundred fifteen billion, eighty-nine million, six hundred fifty-five thousand, forty".