Search a number
-
+
13273379712 = 273314232699
BaseRepresentation
bin11000101110010011…
…11011001110000000
31021021001012112221000
430113021323032000
5204140441122322
610033034332000
7646632603015
oct142711731600
937231175830
1013273379712
1156a15276aa
1226a528a000
131336c0bc48
148dcbad70c
1552a4533ac
hex31727b380

13273379712 has 128 divisors (see below), whose sum is σ = 39216960000. Its totient is φ = 4419712512.

The previous prime is 13273379699. The next prime is 13273379719. The reversal of 13273379712 is 21797337231.

13273379712 is a `hidden beast` number, since 1 + 3 + 273 + 379 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13273379719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4916539 + ... + 4919237.

It is an arithmetic number, because the mean of its divisors is an integer number (306382500).

Almost surely, 213273379712 is an apocalyptic number.

13273379712 is a gapful number since it is divisible by the number (12) 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 13273379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608480000).

13273379712 is an abundant number, since it is smaller than the sum of its proper divisors (25943580288).

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

13273379712 is a wasteful number, since it uses less digits than its factorization.

13273379712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4127 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The spelling of 13273379712 in words is "thirteen billion, two hundred seventy-three million, three hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1423 1728 2699 2846 3456 4269 5398 5692 8097 8538 10796 11384 12807 16194 17076 21592 22768 24291 25614 32388 34152 38421 43184 45536 48582 51228 64776 68304 72873 76842 86368 91072 97164 102456 129552 136608 145746 153684 172736 182144 194328 204912 259104 273216 291492 307368 345472 388656 409824 518208 546432 582984 614736 777312 819648 1036416 1165968 1229472 1554624 1639296 2331936 2458944 3109248 3840677 4663872 4917888 7681354 9327744 11522031 15362708 23044062 30725416 34566093 46088124 61450832 69132186 92176248 103698279 122901664 138264372 184352496 207396558 245803328 276528744 368704992 414793116 491606656 553057488 737409984 829586232 1106114976 1474819968 1659172464 2212229952 3318344928 4424459904 6636689856 13273379712