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212368377312 = 253371318114923
BaseRepresentation
bin1100010111001000100…
…1000100010111100000
3202022011022120100112000
43011302021010113200
511434412301033222
6241321035204000
721225454265040
oct3056211042740
9668138510460
10212368377312
118207945a133
12351a98a6600
13170458a2830
14a3c89d1720
1557ce20d9ac
hex31722445e0

212368377312 has 384 divisors, whose sum is σ = 766611256320. Its totient is φ = 55696066560.

The previous prime is 212368377293. The next prime is 212368377341. The reversal of 212368377312 is 213773863212.

It is a happy number.

212368377312 is a `hidden beast` number, since 21 + 236 + 83 + 7 + 7 + 312 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14223483 + ... + 14238405.

It is an arithmetic number, because the mean of its divisors is an integer number (1996383480).

Almost surely, 2212368377312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212368377312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383305628160).

212368377312 is an abundant number, since it is smaller than the sum of its proper divisors (554242879008).

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

212368377312 is a wasteful number, since it uses less digits than its factorization.

212368377312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143 (or 15129 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 212368377312 in words is "two hundred twelve billion, three hundred sixty-eight million, three hundred seventy-seven thousand, three hundred twelve".