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212019478152 = 233298397157241
BaseRepresentation
bin1100010101110101011…
…0000111111010001000
3202021021000001102211220
43011131112013322020
511433203441300102
6241222253122040
721214016554236
oct3053526077210
9667230042756
10212019478152
1181a0a517019
1235110a89320
1316cbb513721
14a39452d956
1557ad7911bc
hex315d587e88

212019478152 has 256 divisors, whose sum is σ = 566565753600. Its totient is φ = 66019000320.

The previous prime is 212019478147. The next prime is 212019478171. The reversal of 212019478152 is 251874910212.

212019478152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879748752 + ... + 879748992.

It is an arithmetic number, because the mean of its divisors is an integer number (2213147475).

Almost surely, 2212019478152 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 212019478152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283282876800).

212019478152 is an abundant number, since it is smaller than the sum of its proper divisors (354546275448).

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

212019478152 is a wasteful number, since it uses less digits than its factorization.

212019478152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 212019478152 in words is "two hundred twelve billion, nineteen million, four hundred seventy-eight thousand, one hundred fifty-two".