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212124831048 = 233313198347903
BaseRepresentation
bin1100010110001110100…
…0000000110101001000
3202021112100021220212000
43011203220000311020
511433412424043143
6241240535151000
721216436212444
oct3054350006510
9667470256760
10212124831048
1181a63a34229
1235140215460
13170072ac810
14a3a4515824
1557b7b51bd3
hex3163a00d48

212124831048 has 256 divisors, whose sum is σ = 676021248000. Its totient is φ = 61087696128.

The previous prime is 212124831041. The next prime is 212124831053. The reversal of 212124831048 is 840138421212.

212124831048 is a `hidden beast` number, since 2 + 121 + 2 + 483 + 10 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212124831041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4404265 + ... + 4452167.

It is an arithmetic number, because the mean of its divisors is an integer number (2640708000).

Almost surely, 2212124831048 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 212124831048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338010624000).

212124831048 is an abundant number, since it is smaller than the sum of its proper divisors (463896416952).

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

212124831048 is a wasteful number, since it uses less digits than its factorization.

212124831048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48033 (or 48023 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 212124831048 in words is "two hundred twelve billion, one hundred twenty-four million, eight hundred thirty-one thousand, forty-eight".