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212355119064 = 233113173831021
BaseRepresentation
bin1100010111000101011…
…0011111011111011000
3202022010101121202121210
43011301112133133120
511434400402302224
6241315443103120
721225233505204
oct3056126373730
9668111552553
10212355119064
1182071a24000
12351a5371aa0
1317042c0cc0a
14a3c6d3db04
1557cce90429
hex317159f7d8

212355119064 has 256 divisors, whose sum is σ = 620507381760. Its totient is φ = 60347443200.

The previous prime is 212355119059. The next prime is 212355119069. The reversal of 212355119064 is 460911553212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212355119059) and next prime (212355119069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212355119069) 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, 207986874 + ... + 207987894.

It is an arithmetic number, because the mean of its divisors is an integer number (2423856960).

Almost surely, 2212355119064 is an apocalyptic number.

212355119064 is a gapful number since it is divisible by the number (24) 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 212355119064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310253690880).

212355119064 is an abundant number, since it is smaller than the sum of its proper divisors (408152262696).

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

212355119064 is a wasteful number, since it uses less digits than its factorization.

212355119064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 212355119064 in words is "two hundred twelve billion, three hundred fifty-five million, one hundred nineteen thousand, sixty-four".