Search a number
-
+
12277172280 = 2335531930373
BaseRepresentation
bin10110110111100011…
…01100100000111000
31011200121122222020110
423123301230200320
5200120424003110
65350130224320
7613145146122
oct133361544070
934617588213
1012277172280
11523016427a
1224677250a0
1312086cc0a9
1484676c212
154bcc70a20
hex2dbc6c838

12277172280 has 64 divisors (see below), whose sum is σ = 37526470560. Its totient is φ = 3212139008.

The previous prime is 12277172273. The next prime is 12277172291. The reversal of 12277172280 is 8227177221.

12277172280 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958827 + ... + 971546.

Almost surely, 212277172280 is an apocalyptic number.

12277172280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12277172280 is an abundant number, since it is smaller than the sum of its proper divisors (25249298280).

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

12277172280 is a wasteful number, since it uses less digits than its factorization.

12277172280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930440 (or 1930436 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The spelling of 12277172280 in words is "twelve billion, two hundred seventy-seven million, one hundred seventy-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 1930373 3860746 5791119 7721492 9651865 11582238 15442984 19303730 23164476 28955595 38607460 46328952 57911190 77214920 102309769 115822380 204619538 231644760 306929307 409239076 511548845 613858614 818478152 1023097690 1227717228 1534646535 2046195380 2455434456 3069293070 4092390760 6138586140 12277172280