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212141451960 = 23325589281811
BaseRepresentation
bin1100010110010010011…
…1011010101010111000
3202021120111120100110100
43011210213122222320
511433431202430320
6241242331315400
721220030406064
oct3054447325270
9667514510410
10212141451960
1181a72356819
12351458abb60
131700a87bb89
14a3a6800aa4
1557b9336790
hex31649daab8

212141451960 has 48 divisors (see below), whose sum is σ = 689459720040. Its totient is φ = 56571053760.

The previous prime is 212141451959. The next prime is 212141451971. The reversal of 212141451960 is 69154141212.

212141451960 is a `hidden beast` number, since 2 + 1 + 2 + 141 + 451 + 9 + 60 = 666.

212141451960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 294640546 + ... + 294641265.

Almost surely, 2212141451960 is an apocalyptic number.

212141451960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212141451960 is an abundant number, since it is smaller than the sum of its proper divisors (477318268080).

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

212141451960 is a wasteful number, since it uses less digits than its factorization.

212141451960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589281828 (or 589281821 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 212141451960 in words is "two hundred twelve billion, one hundred forty-one million, four hundred fifty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 589281811 1178563622 1767845433 2357127244 2946409055 3535690866 4714254488 5303536299 5892818110 7071381732 8839227165 10607072598 11785636220 14142763464 17678454330 21214145196 23571272440 26517681495 35356908660 42428290392 53035362990 70713817320 106070725980 212141451960