Search a number
-
+
1212163956 = 2232371396547
BaseRepresentation
bin100100001000000…
…0010011101110100
310010110220022100100
41020100002131310
54440303221311
6320140514100
742016136463
oct11020023564
93113808310
101212163956
115722647a3
12299b4b930
13164192ca3
14b6db89da
157163ea56
hex48402774

1212163956 has 72 divisors (see below), whose sum is σ = 3170017760. Its totient is φ = 390246336.

The previous prime is 1212163951. The next prime is 1212163987. The reversal of 1212163956 is 6593612121.

1212163956 is a `hidden beast` number, since 1 + 2 + 12 + 1 + 639 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1212163956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212163951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181875 + ... + 188421.

Almost surely, 21212163956 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 1212163956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585008880).

1212163956 is an abundant number, since it is smaller than the sum of its proper divisors (1957853804).

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

1212163956 is a wasteful number, since it uses less digits than its factorization.

1212163956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6728 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1212163956 is about 34816.1450479515. The cubic root of 1212163956 is about 1066.2370971218.

The spelling of 1212163956 in words is "one billion, two hundred twelve million, one hundred sixty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 139 148 222 278 333 417 444 556 666 834 1251 1332 1668 2502 5004 5143 6547 10286 13094 15429 19641 20572 26188 30858 39282 46287 58923 61716 78564 92574 117846 185148 235692 242239 484478 726717 910033 968956 1453434 1820066 2180151 2730099 2906868 3640132 4360302 5460198 8190297 8720604 10920396 16380594 32761188 33671221 67342442 101013663 134684884 202027326 303040989 404054652 606081978 1212163956