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216407381976 = 233215719144319
BaseRepresentation
bin1100100110001011100…
…0101001011111011000
3202200120210200001022100
43021202320221133120
512021200242210401
6243225521123400
721430530252612
oct3114270513730
9680523601270
10216407381976
1183861364115
1235b36489560
131753a5cca16
14a68d1b9db2
155968adab86
hex3262e297d8

216407381976 has 48 divisors (see below), whose sum is σ = 589836499200. Its totient is φ = 71676326592.

The previous prime is 216407381969. The next prime is 216407381987. The reversal of 216407381976 is 679183704612.

216407381976 is a `hidden beast` number, since 2 + 16 + 407 + 38 + 197 + 6 = 666.

216407381976 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 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 11 ways as a sum of consecutive naturals, for example, 9560856 + ... + 9583463.

It is an arithmetic number, because the mean of its divisors is an integer number (12288260400).

Almost surely, 2216407381976 is an apocalyptic number.

It is an amenable number.

216407381976 is an abundant number, since it is smaller than the sum of its proper divisors (373429117224).

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

216407381976 is a wasteful number, since it uses less digits than its factorization.

216407381976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19144488 (or 19144481 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 216407381976 in words is "two hundred sixteen billion, four hundred seven million, three hundred eighty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 19144319 38288638 57432957 76577276 114865914 153154552 172298871 229731828 344597742 459463656 689195484 1378390968 3005658083 6011316166 9016974249 12022632332 18033948498 24045264664 27050922747 36067896996 54101845494 72135793992 108203690988 216407381976