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212148868960 = 25572917333769
BaseRepresentation
bin1100010110010100001…
…1101101011101100000
3202021121000112011200001
43011211003231131200
511433440102301320
6241243154305344
721220150430020
oct3054503553540
9667530464601
10212148868960
1181a76562276
1235148288254
131700c277b32
14a3a77b1a80
1557b9cee20a
hex31650ed760

212148868960 has 192 divisors, whose sum is σ = 593052969600. Its totient is φ = 70169444352.

The previous prime is 212148868933. The next prime is 212148868999. The reversal of 212148868960 is 69868841212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56285956 + ... + 56289724.

It is an arithmetic number, because the mean of its divisors is an integer number (3088817550).

Almost surely, 2212148868960 is an apocalyptic number.

212148868960 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 212148868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296526484800).

212148868960 is an abundant number, since it is smaller than the sum of its proper divisors (380904100640).

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

212148868960 is a wasteful number, since it uses less digits than its factorization.

212148868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 212148868960 in words is "two hundred twelve billion, one hundred forty-eight million, eight hundred sixty-eight thousand, nine hundred sixty".