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212300368697088 = 2832737483173643
BaseRepresentation
bin110000010001011000001000…
…000011111101011100000000
31000211200201100201101221102200
4300101120020003331130000
5210311312123341301323
62031305235403113200
762501124022201260
oct6021301003753400
91024621321357380
10212300368697088
1161711098519a91
121b989297b12800
13915cab9cab909
143a5d56d6bb7a0
151982646bec443
hexc116080fd700

212300368697088 has 432 divisors, whose sum is σ = 718624684517376. Its totient is φ = 59004845383680.

The previous prime is 212300368697029. The next prime is 212300368697107. The reversal of 212300368697088 is 880796863003212.

212300368697088 is a `hidden beast` number, since 2 + 123 + 0 + 0 + 368 + 6 + 9 + 70 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2882794795 + ... + 2882868437.

Almost surely, 2212300368697088 is an apocalyptic number.

212300368697088 is a gapful number since it is divisible by the number (28) 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 212300368697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359312342258688).

212300368697088 is an abundant number, since it is smaller than the sum of its proper divisors (506324315820288).

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

212300368697088 is a wasteful number, since it uses less digits than its factorization.

212300368697088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78540 (or 78523 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 212300368697088 in words is "two hundred twelve trillion, three hundred billion, three hundred sixty-eight million, six hundred ninety-seven thousand, eighty-eight".