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1212919929 = 32132192472
BaseRepresentation
bin100100001001011…
…1011000001111001
310010112022201100100
41020102323001321
54441001414204
6320205030013
742025435464
oct11022730171
93115281310
101212919929
11572730771
1229a255309
13164399100
14b71342db
157173da39
hex484bb079

1212919929 has 81 divisors (see below), whose sum is σ = 2045742543. Its totient is φ = 692082144.

The previous prime is 1212919907. The next prime is 1212919937. The reversal of 1212919929 is 9299192121.

The square root of 1212919929 is 34827.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 179426025 + 1033493904 = 13395^2 + 32148^2 .

It is not a de Polignac number, because 1212919929 - 213 = 1212911737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1212919979) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25806784 + ... + 25806830.

Almost surely, 21212919929 is an apocalyptic number.

1212919929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1212919929 is the 34827-th square number.

1212919929 is the 17414-th centered octagonal number.

It is an amenable number.

1212919929 is a deficient number, since it is larger than the sum of its proper divisors (832822614).

1212919929 is a wasteful number, since it uses less digits than its factorization.

1212919929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 82 counting only the distinct ones).

The product of its digits is 52488, while the sum is 45.

The cubic root of 1212919929 is about 1066.4587060183.

The spelling of 1212919929 in words is "one billion, two hundred twelve million, nine hundred nineteen thousand, nine hundred twenty-nine".

Divisors: 1 3 9 13 19 39 47 57 117 141 169 171 247 361 423 507 611 741 893 1083 1521 1833 2209 2223 2679 3211 3249 4693 5499 6627 7943 8037 9633 11609 14079 16967 19881 23829 28717 28899 34827 41971 42237 50901 61009 71487 86151 104481 125913 150917 152703 183027 220571 258453 373321 377739 452751 545623 549081 661713 797449 1119963 1358253 1636869 1985139 2392347 2867423 3359889 4910607 7093099 7177041 8602269 10366837 21279297 25806807 31100511 63837891 93301533 134768881 404306643 1212919929