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13671423700 = 22521161673041
BaseRepresentation
bin11001011101110000…
…10101111011010100
31022021210012021121221
430232320111323110
5210444341024300
610140334020124
7662535120064
oct145670257324
938253167557
1013671423700
115886186a80
122796647644
13139b51712c
149399c53a4
1555037c31a
hex32ee15ed4

13671423700 has 144 divisors (see below), whose sum is σ = 33396487488. Its totient is φ = 4815360000.

The previous prime is 13671423653. The next prime is 13671423709. The reversal of 13671423700 is 732417631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13671423709) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4494180 + ... + 4497220.

It is an arithmetic number, because the mean of its divisors is an integer number (231920052).

Almost surely, 213671423700 is an apocalyptic number.

13671423700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13671423700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698243744).

13671423700 is an abundant number, since it is smaller than the sum of its proper divisors (19725063788).

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

13671423700 is a wasteful number, since it uses less digits than its factorization.

13671423700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 13671423700 in words is "thirteen billion, six hundred seventy-one million, four hundred twenty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 67 100 110 122 134 220 244 268 275 305 335 550 610 670 671 737 1100 1220 1340 1342 1474 1525 1675 2684 2948 3041 3050 3350 3355 3685 4087 6082 6100 6700 6710 7370 8174 12164 13420 14740 15205 16348 16775 18425 20435 30410 33451 33550 36850 40870 44957 60820 66902 67100 73700 76025 81740 89914 102175 133804 152050 167255 179828 185501 203747 204350 224785 304100 334510 371002 407494 408700 449570 669020 742004 814988 836275 899140 927505 1018735 1123925 1672550 1855010 2037470 2040511 2241217 2247850 3345100 3710020 4074940 4081022 4482434 4495700 4637525 5093675 8162044 8964868 9275050 10187350 10202555 11206085 12428567 18550100 20374700 20405110 22412170 24857134 40810220 44824340 49714268 51012775 56030425 62142835 102025550 112060850 124285670 136714237 204051100 224121700 248571340 273428474 310714175 546856948 621428350 683571185 1242856700 1367142370 2734284740 3417855925 6835711850 13671423700