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12968478270 = 23451110331409
BaseRepresentation
bin11000001001111101…
…10100011000111110
31020110210110221210000
430010332310120332
5203024412301040
65542503255130
7636241150356
oct140476643076
936423427700
1012968478270
115555405740
12261b14a4a6
1312b89b61a7
148b04c1b66
1550d7c7130
hex304fb463e

12968478270 has 160 divisors (see below), whose sum is σ = 38104719840. Its totient is φ = 3138600960.

The previous prime is 12968478241. The next prime is 12968478277. The reversal of 12968478270 is 7287486921.

It is a happy number.

12968478270 is a `hidden beast` number, since 1 + 296 + 84 + 7 + 8 + 270 = 666.

It is a super-3 number, since 3×129684782703 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12968478277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9203326 + ... + 9204734.

It is an arithmetic number, because the mean of its divisors is an integer number (238154499).

Almost surely, 212968478270 is an apocalyptic number.

12968478270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12968478270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052359920).

12968478270 is an abundant number, since it is smaller than the sum of its proper divisors (25136241570).

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

12968478270 is a wasteful number, since it uses less digits than its factorization.

12968478270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12968478270 in words is "twelve billion, nine hundred sixty-eight million, four hundred seventy-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1033 1409 1485 1782 2066 2818 2970 3099 4227 4455 5165 6198 7045 8454 8910 9297 10330 11363 12681 14090 15495 15499 18594 21135 22726 25362 27891 30990 30998 34089 38043 42270 46485 46497 55782 56815 63405 68178 76086 77495 83673 92970 92994 102267 113630 114129 126810 139455 139491 154990 167346 170445 190215 204534 228258 232485 278910 278982 306801 340890 380430 418365 418473 464970 511335 570645 613602 697455 836730 836946 920403 1022670 1141290 1255419 1394910 1455497 1534005 1840806 2092365 2510838 2910994 3068010 4184730 4366491 4602015 6277095 7277485 8732982 9204030 12554190 13099473 14554970 16010467 21832455 26198946 32020934 39298419 43664910 48031401 65497365 78596838 80052335 96062802 117895257 130994730 144094203 160104670 196492095 235790514 240157005 288188406 392984190 432282609 480314010 589476285 720471015 864565218 1178952570 1296847827 1440942030 2161413045 2593695654 4322826090 6484239135 12968478270