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1312918354260 = 2232553190772167
BaseRepresentation
bin10011000110110000000…
…010000011100101010100
311122111212112111211210100
4103012300002003211110
5133002324044314020
62443051340454100
7163566224606652
oct23066002034524
94574775454710
101312918354260
11466895201a27
1219255184a330
1396a665b0946
144778d13ddd2
15242430eaa90
hex131b0083954

1312918354260 has 144 divisors (see below), whose sum is σ = 4059844903296. Its totient is φ = 343320796416.

The previous prime is 1312918354229. The next prime is 1312918354277. The reversal of 1312918354260 is 624538192131.

1312918354260 is a `hidden beast` number, since 1 + 3 + 1 + 29 + 1 + 83 + 542 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18156697 + ... + 18228863.

It is an arithmetic number, because the mean of its divisors is an integer number (28193367384).

Almost surely, 21312918354260 is an apocalyptic number.

1312918354260 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 1312918354260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029922451648).

1312918354260 is an abundant number, since it is smaller than the sum of its proper divisors (2746926549036).

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

1312918354260 is a wasteful number, since it uses less digits than its factorization.

1312918354260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74142 (or 74137 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1312918354260 in words is "one trillion, three hundred twelve billion, nine hundred eighteen million, three hundred fifty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1907 1908 2385 3180 3814 4770 5721 7628 9535 9540 11442 17163 19070 22884 28605 34326 38140 57210 68652 72167 85815 101071 114420 144334 171630 202142 216501 288668 303213 343260 360835 404284 433002 505355 606426 649503 721670 866004 909639 1010710 1082505 1212852 1299006 1443340 1516065 1819278 2021420 2165010 2598012 3032130 3247515 3638556 3824851 4330020 4548195 6064260 6495030 7649702 9096390 11474553 12990060 15299404 18192780 19124255 22949106 34423659 38248510 45898212 57372765 68847318 76497020 114745530 137622469 137694636 172118295 229491060 275244938 344236590 412867407 550489876 688112345 688473180 825734814 1238602221 1376224690 1651469628 2064337035 2477204442 2752449380 4128674070 4954408884 6193011105 7293990857 8257348140 12386022210 14587981714 21881972571 24772044420 29175963428 36469954285 43763945142 65645917713 72939908570 87527890284 109409862855 131291835426 145879817140 218819725710 262583670852 328229588565 437639451420 656459177130 1312918354260