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12939215400 = 233552266239
BaseRepresentation
bin11000000110011110…
…01100001000101000
31020101202102020200000
430003033030020220
5202444414343100
65535540143000
7635434342026
oct140317141050
936352366600
1012939215400
11553a939051
122611397a60
1312b290b897
148aa665716
1550ae46900
hex3033cc228

12939215400 has 144 divisors (see below), whose sum is σ = 45063782400. Its totient is φ = 3450444480.

The previous prime is 12939215383. The next prime is 12939215407. The reversal of 12939215400 is 451293921.

12939215400 is a `hidden beast` number, since 1 + 2 + 9 + 39 + 215 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12939215407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84520 + ... + 181719.

Almost surely, 212939215400 is an apocalyptic number.

12939215400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12939215400 is an abundant number, since it is smaller than the sum of its proper divisors (32124567000).

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

12939215400 is a wasteful number, since it uses less digits than its factorization.

12939215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266270 (or 266249 counting only the distinct ones).

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

The spelling of 12939215400 in words is "twelve billion, nine hundred thirty-nine million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 48600 266239 532478 798717 1064956 1331195 1597434 2129912 2396151 2662390 3194868 3993585 4792302 5324780 6389736 6655975 7188453 7987170 9584604 10649560 11980755 13311950 14376906 15974340 19169208 19967925 21565359 23961510 26623900 28753812 31948680 35942265 39935850 43130718 47923020 53247800 57507624 59903775 64696077 71884530 79871700 86261436 95846040 107826795 119807550 129392154 143769060 159743400 172522872 179711325 215653590 239615100 258784308 287538120 323480385 359422650 431307180 479230200 517568616 539133975 646960770 718845300 862614360 1078267950 1293921540 1437690600 1617401925 2156535900 2587843080 3234803850 4313071800 6469607700 12939215400