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212437978368 = 2837113739631
BaseRepresentation
bin1100010111011001001…
…0100100110100000000
3202022100011112110012220
43011312102210310000
511440033110301433
6241332003051040
721230261010420
oct3056622446400
9668304473186
10212437978368
1182104778470
1235209070a80
13170571318a5
14a3d3d4c480
1557d53ab2b3
hex31764a4d00

212437978368 has 288 divisors, whose sum is σ = 706871058432. Its totient is φ = 55025049600.

The previous prime is 212437978327. The next prime is 212437978391. The reversal of 212437978368 is 863879734212.

It is a happy number.

212437978368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 22052913 + ... + 22062543.

Almost surely, 2212437978368 is an apocalyptic number.

212437978368 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 212437978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353435529216).

212437978368 is an abundant number, since it is smaller than the sum of its proper divisors (494433080064).

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

212437978368 is a wasteful number, since it uses less digits than its factorization.

212437978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10027 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 212437978368 in words is "two hundred twelve billion, four hundred thirty-seven million, nine hundred seventy-eight thousand, three hundred sixty-eight".