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216315542976 = 2631386664881
BaseRepresentation
bin1100100101110101101…
…0010011110111000000
3202200100101212010212220
43021131122103313000
512021003234333401
6243212440451040
721425333530461
oct3113532236700
9680311763786
10216315542976
1183814537115
1235b0b779a80
1317524585a10
14a680d10d68
1559609e9336
hex325d693dc0

216315542976 has 56 divisors (see below), whose sum is σ = 616360640784. Its totient is φ = 66558627840.

The previous prime is 216315542897. The next prime is 216315542977. The reversal of 216315542976 is 679245513612.

216315542976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216315542977) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43329945 + ... + 43334936.

It is an arithmetic number, because the mean of its divisors is an integer number (11006440014).

Almost surely, 2216315542976 is an apocalyptic number.

216315542976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

216315542976 is an abundant number, since it is smaller than the sum of its proper divisors (400045097808).

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

216315542976 is a wasteful number, since it uses less digits than its factorization.

216315542976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86664909 (or 86664899 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The spelling of 216315542976 in words is "two hundred sixteen billion, three hundred fifteen million, five hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 86664881 173329762 259994643 346659524 519989286 693319048 1039978572 1126643453 1386638096 2079957144 2253286906 2773276192 3379930359 4159914288 4506573812 5546552384 6759860718 8319828576 9013147624 13519721436 16639657152 18026295248 27039442872 36052590496 54078885744 72105180992 108157771488 216315542976