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216044238960 = 2433511671131201
BaseRepresentation
bin1100100100110100111…
…1010111100001110000
3202122122111100110202000
43021031033113201300
512014424311121320
6243125505454000
721415530505614
oct3111517274160
9678574313660
10216044238960
1183695382420
1235a54941300
13174b02c44b4
14a656c8b344
155946ca7c90
hex324d3d7870

216044238960 has 640 divisors, whose sum is σ = 831902469120. Its totient is φ = 51093504000.

The previous prime is 216044238881. The next prime is 216044238997. The reversal of 216044238960 is 69832440612.

216044238960 is a `hidden beast` number, since 2 + 1 + 604 + 4 + 2 + 38 + 9 + 6 + 0 = 666.

216044238960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2160442389602 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179886360 + ... + 179887560.

It is an arithmetic number, because the mean of its divisors is an integer number (1299847608).

Almost surely, 2216044238960 is an apocalyptic number.

216044238960 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 216044238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415951234560).

216044238960 is an abundant number, since it is smaller than the sum of its proper divisors (615858230160).

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

216044238960 is a wasteful number, since it uses less digits than its factorization.

216044238960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 216044238960 in words is "two hundred sixteen billion, forty-four million, two hundred thirty-eight thousand, nine hundred sixty".