Search a number
-
+
212142191352 = 23371397134703
BaseRepresentation
bin1100010110010010101…
…0001111001011111000
3202021120112221220201020
43011210222033023320
511433431400110402
6241242355222440
721220036605540
oct3054452171370
9667515856636
10212142191352
1181a72811293
1235145ba7a20
131700aa7a5a0
14a3a6954320
1557b94308bc
hex3164a8f2f8

212142191352 has 64 divisors (see below), whose sum is σ = 652745210880. Its totient is φ = 55949588352.

The previous prime is 212142191311. The next prime is 212142191377. The reversal of 212142191352 is 253191241212.

212142191352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 48565168 + ... + 48569535.

It is an arithmetic number, because the mean of its divisors is an integer number (10199143920).

Almost surely, 2212142191352 is an apocalyptic number.

It is an amenable number.

212142191352 is an abundant number, since it is smaller than the sum of its proper divisors (440603019528).

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

212142191352 is a wasteful number, since it uses less digits than its factorization.

212142191352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97134732 (or 97134728 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The spelling of 212142191352 in words is "two hundred twelve billion, one hundred forty-two million, one hundred ninety-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 97134703 194269406 291404109 388538812 582808218 679942921 777077624 1165616436 1262751139 1359885842 2039828763 2331232872 2525502278 2719771684 3788253417 4079657526 5051004556 5439543368 7576506834 8159315052 8839257973 10102009112 15153013668 16318630104 17678515946 26517773919 30306027336 35357031892 53035547838 70714063784 106071095676 212142191352