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212364047711376 = 243211192329101104743
BaseRepresentation
bin110000010010010011011011…
…101000000111110010010000
31000211220210201121201001000100
4300102103123220013302100
5210313333032203231001
62031354410253252400
762505540033660201
oct6022233350076220
91024823647631010
10212364047711376
11617360a5682a20
121b9996a9a94100
139165ac79c2722
143a62690a0b5a8
15198412241d586
hexc124dba07c90

212364047711376 has 960 divisors, whose sum is σ = 744008866099200. Its totient is φ = 55746206208000.

The previous prime is 212364047711371. The next prime is 212364047711377. The reversal of 212364047711376 is 673117740463212.

It is a happy number.

212364047711376 is a `hidden beast` number, since 2 + 1 + 2 + 36 + 4 + 0 + 477 + 1 + 137 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (212364047711371) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2027424861 + ... + 2027529603.

It is an arithmetic number, because the mean of its divisors is an integer number (775009235520).

Almost surely, 2212364047711376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212364047711376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372004433049600).

212364047711376 is an abundant number, since it is smaller than the sum of its proper divisors (531644818387824).

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

212364047711376 is a wasteful number, since it uses less digits than its factorization.

212364047711376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104940 (or 104931 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 212364047711376 in words is "two hundred twelve trillion, three hundred sixty-four billion, forty-seven million, seven hundred eleven thousand, three hundred seventy-six".