Search a number
-
+
212112976848 = 243137160920047
BaseRepresentation
bin1100010110001011101…
…0110010101111010000
3202021111111222122221120
43011202322302233100
511433401410224343
6241235433122240
721216233361213
oct3054272625720
9667444878846
10212112976848
1181a58277a73
1235138259380
13170049bbcb6
14a3a2b0b77a
1557b6aae683
hex3162eb2bd0

212112976848 has 80 divisors (see below), whose sum is σ = 552328815360. Its totient is φ = 70141114368.

The previous prime is 212112976847. The next prime is 212112976897. The reversal of 212112976848 is 848679211212.

212112976848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2121129768483 (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 212112976848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112976847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10570761 + ... + 10590807.

It is an arithmetic number, because the mean of its divisors is an integer number (6904110192).

Almost surely, 2212112976848 is an apocalyptic number.

It is an amenable number.

212112976848 is an abundant number, since it is smaller than the sum of its proper divisors (340215838512).

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

212112976848 is a wasteful number, since it uses less digits than its factorization.

212112976848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21804 (or 21798 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The spelling of 212112976848 in words is "two hundred twelve billion, one hundred twelve million, nine hundred seventy-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1609 1644 2192 3218 3288 4827 6436 6576 9654 12872 19308 20047 25744 38616 40094 60141 77232 80188 120282 160376 220433 240564 320752 440866 481128 661299 881732 962256 1322598 1763464 2645196 2746439 3526928 5290392 5492878 8239317 10580784 10985756 16478634 21971512 32255623 32957268 43943024 64511246 65914536 96766869 129022492 131829072 193533738 258044984 387067476 516089968 774134952 1548269904 4419020351 8838040702 13257061053 17676081404 26514122106 35352162808 53028244212 70704325616 106056488424 212112976848