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1312148808 = 233417311383
BaseRepresentation
bin100111000110101…
…1100110101001000
310101110001001210000
41032031130311020
510141402230213
6334111523000
744342036505
oct11615346510
93343031700
101312148808
11613745903
12307529460
1317bacc919
14c63a44ac
157a2dec73
hex4e35cd48

1312148808 has 160 divisors (see below), whose sum is σ = 3914127360. Its totient is φ = 409259520.

The previous prime is 1312148807. The next prime is 1312148813. The reversal of 1312148808 is 8088412131.

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 (1312148801) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3425785 + ... + 3426167.

It is an arithmetic number, because the mean of its divisors is an integer number (24463296).

Almost surely, 21312148808 is an apocalyptic number.

1312148808 is a gapful number since it is divisible by the number (18) 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 1312148808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957063680).

1312148808 is an abundant number, since it is smaller than the sum of its proper divisors (2601978552).

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

1312148808 is a wasteful number, since it uses less digits than its factorization.

1312148808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1312148808 is about 36223.5946311241. The cubic root of 1312148808 is about 1094.7821221601.

The spelling of 1312148808 in words is "one billion, three hundred twelve million, one hundred forty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 311 324 383 408 459 612 622 648 766 918 933 1149 1224 1244 1377 1532 1836 1866 2298 2488 2754 2799 3064 3447 3672 3732 4596 5287 5508 5598 6511 6894 7464 8397 9192 10341 10574 11016 11196 13022 13788 15861 16794 19533 20682 21148 22392 25191 26044 27576 31023 31722 33588 39066 41364 42296 47583 50382 52088 58599 62046 63444 67176 78132 82728 95166 100764 117198 119113 124092 126888 142749 156264 175797 190332 201528 234396 238226 248184 285498 351594 357339 380664 428247 468792 476452 527391 570996 703188 714678 856494 952904 1054782 1072017 1141992 1406376 1429356 1712988 2024921 2109564 2144034 2858712 3216051 3425976 4049842 4219128 4288068 6074763 6432102 8099684 8576136 9648153 12149526 12864204 16199368 18224289 19296306 24299052 25728408 36448578 38592612 48598104 54672867 72897156 77185224 109345734 145794312 164018601 218691468 328037202 437382936 656074404 1312148808