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1346804310672 = 24341997520381
BaseRepresentation
bin10011100110010011110…
…010101110001010010000
311202202100002220210020000
4103212103302232022100
5134031223400420142
62510414030250000
7166206031516542
oct23462362561220
94682302823200
101346804310672
1147a1a3a16587
1219902a056900
139a006a77722
14492856d3692
1525077e6e14c
hex13993cae290

1346804310672 has 100 divisors (see below), whose sum is σ = 3900001858236. Its totient is φ = 448709103360.

The previous prime is 1346804310671. The next prime is 1346804310673. The reversal of 1346804310672 is 2760134086431.

1346804310672 is a `hidden beast` number, since 13 + 468 + 0 + 4 + 3 + 106 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1346804310671) and next prime (1346804310673).

It can be written as a sum of positive squares in 2 ways, for example, as 21690220176 + 1325114090496 = 147276^2 + 1151136^2 .

It is not an unprimeable number, because it can be changed into a prime (1346804310671) 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 19 ways as a sum of consecutive naturals, for example, 2327922 + ... + 2848302.

Almost surely, 21346804310672 is an apocalyptic number.

1346804310672 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 1346804310672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950000929118).

1346804310672 is an abundant number, since it is smaller than the sum of its proper divisors (2553197547564).

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

1346804310672 is a wasteful number, since it uses less digits than its factorization.

1346804310672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522398 (or 522383 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1346804310672 in words is "one trillion, three hundred forty-six billion, eight hundred four million, three hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1997 3994 5991 7988 11982 15976 17973 23964 31952 35946 47928 53919 71892 95856 107838 143784 161757 215676 287568 323514 431352 520381 647028 862704 1040762 1294056 1561143 2081524 2588112 3122286 4163048 4683429 6244572 8326096 9366858 12489144 14050287 18733716 24978288 28100574 37467432 42150861 56201148 74934864 84301722 112402296 168603444 224804592 337206888 674413776 1039200857 2078401714 3117602571 4156803428 6235205142 8313606856 9352807713 12470410284 16627213712 18705615426 24940820568 28058423139 37411230852 49881641136 56116846278 74822461704 84175269417 112233692556 149644923408 168350538834 224467385112 336701077668 448934770224 673402155336 1346804310672