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214948868904 = 2332711172280673
BaseRepresentation
bin1100100000101111110…
…0110111001100101000
3202112211011012220111200
43020023330313030220
512010203402301104
6242425100124200
721346430145120
oct3101374671450
9675734186450
10214948868904
118318303a710
12357a9b36660
13173673a5033
14a5915d5c80
1558d0a38b39
hex320bf37328

214948868904 has 192 divisors, whose sum is σ = 768495911040. Its totient is φ = 52546682880.

The previous prime is 214948868881. The next prime is 214948868909. The reversal of 214948868904 is 409868849412.

214948868904 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 488 + 68 + 90 + 4 = 666.

214948868904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2149488689042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (214948868909) 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 47 ways as a sum of consecutive naturals, for example, 1046089 + ... + 1234584.

It is an arithmetic number, because the mean of its divisors is an integer number (4002582870).

Almost surely, 2214948868904 is an apocalyptic number.

214948868904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214948868904 is an abundant number, since it is smaller than the sum of its proper divisors (553547042136).

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

214948868904 is a wasteful number, since it uses less digits than its factorization.

214948868904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280720 (or 2280713 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 214948868904 in words is "two hundred fourteen billion, nine hundred forty-eight million, eight hundred sixty-eight thousand, nine hundred four".