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212976900136 = 237111324794271
BaseRepresentation
bin1100011001011001101…
…0011001100000101000
3202100201201121111220101
43012112122121200220
511442134041301021
6241501254035144
721246523532050
oct3062632314050
9670651544811
10212976900136
11823609a9360
1235339648ab4
1317111993800
14a445756560
155817861a91
hex3196699828

212976900136 has 192 divisors, whose sum is σ = 540363571200. Its totient is φ = 76417286400.

The previous prime is 212976900119. The next prime is 212976900137. The reversal of 212976900136 is 631009679212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212976900137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49863681 + ... + 49867951.

It is an arithmetic number, because the mean of its divisors is an integer number (2814393600).

Almost surely, 2212976900136 is an apocalyptic number.

212976900136 is a gapful number since it is divisible by the number (26) 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 212976900136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270181785600).

212976900136 is an abundant number, since it is smaller than the sum of its proper divisors (327386671064).

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

212976900136 is a wasteful number, since it uses less digits than its factorization.

212976900136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 212976900136 in words is "two hundred twelve billion, nine hundred seventy-six million, nine hundred thousand, one hundred thirty-six".