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212710875417 = 3329639742467
BaseRepresentation
bin1100011000011010001…
…1100110000100011001
3202100001012001001121000
43012012203212010121
511441112441003132
6241415032135213
721240113415555
oct3060643460431
9670035031530
10212710875417
1182234820017
1235284537509
131709b830231
14a41c2a8865
1557ee31487c
hex31868e6119

212710875417 has 32 divisors (see below), whose sum is σ = 326052316800. Its totient is φ = 136892718144.

The previous prime is 212710875409. The next prime is 212710875451. The reversal of 212710875417 is 714578017212.

It is a happy number.

212710875417 is a `hidden beast` number, since 2 + 1 + 27 + 1 + 0 + 87 + 541 + 7 = 666.

It is not a de Polignac number, because 212710875417 - 23 = 212710875409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212710855417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4987618 + ... + 5030084.

It is an arithmetic number, because the mean of its divisors is an integer number (10189134900).

Almost surely, 2212710875417 is an apocalyptic number.

212710875417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

212710875417 is a deficient number, since it is larger than the sum of its proper divisors (113341441383).

212710875417 is a wasteful number, since it uses less digits than its factorization.

212710875417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48902 (or 48896 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 212710875417 in words is "two hundred twelve billion, seven hundred ten million, eight hundred seventy-five thousand, four hundred seventeen".

Divisors: 1 3 9 27 29 87 261 783 6397 19191 42467 57573 127401 172719 185513 382203 556539 1146609 1231543 1669617 3694629 5008851 11083887 33251661 271661399 814984197 2444952591 7334857773 7878180571 23634541713 70903625139 212710875417