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212756739981120 = 2635583283116483
BaseRepresentation
bin110000011000000001001001…
…111010001111111101000000
31000220022100100000111020200000
4300120001021322033331000
5210341301300413343440
62032255032543400000
762546111232125166
oct6030011172177500
91026270300436600
10212756739981120
1161877699187425
121ba418218b3000
139193b4a35160a
143a776a442b236
15198e4574b3730
hexc18049e8ff40

212756739981120 has 672 divisors, whose sum is σ = 770761932175872. Its totient is φ = 55853033269248.

The previous prime is 212756739981091. The next prime is 212756739981167. The reversal of 212756739981120 is 21189937657212.

It is a happy number.

212756739981120 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 567 + 39 + 9 + 8 + 11 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1826446399 + ... + 1826562881.

It is an arithmetic number, because the mean of its divisors is an integer number (1146967160976).

Almost surely, 2212756739981120 is an apocalyptic number.

212756739981120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212756739981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385380966087936).

212756739981120 is an abundant number, since it is smaller than the sum of its proper divisors (558005192194752).

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

212756739981120 is a wasteful number, since it uses less digits than its factorization.

212756739981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116881 (or 116859 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 212756739981120 in words is "two hundred twelve trillion, seven hundred fifty-six billion, seven hundred thirty-nine million, nine hundred eighty-one thousand, one hundred twenty".