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1341986616864 = 25334493459299
BaseRepresentation
bin10011100001110100101…
…000101011011000100000
311202021220100120120202000
4103201310220223120200
5133441342033214424
62504300010324000
7165645452014155
oct23416450533040
94667810516660
101341986616864
11478151506953
12198104729600
139971991962a
1448d4992a22c
1524d950293c9
hex13874a2b620

1341986616864 has 96 divisors (see below), whose sum is σ = 3922846200000. Its totient is φ = 446332465152.

The previous prime is 1341986616863. The next prime is 1341986616871. The reversal of 1341986616864 is 4686166891431.

It is a happy number.

1341986616864 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 9 + 8 + 6 + 616 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1341986616863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341714 + ... + 2117585.

It is an arithmetic number, because the mean of its divisors is an integer number (40862981250).

Almost surely, 21341986616864 is an apocalyptic number.

It is an amenable number.

1341986616864 is an abundant number, since it is smaller than the sum of its proper divisors (2580859583136).

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

1341986616864 is a wasteful number, since it uses less digits than its factorization.

1341986616864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459767 (or 3459753 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 1341986616864 in words is "one trillion, three hundred forty-one billion, nine hundred eighty-six million, six hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 449 864 898 1347 1796 2694 3592 4041 5388 7184 8082 10776 12123 14368 16164 21552 24246 32328 43104 48492 64656 96984 129312 193968 387936 3459299 6918598 10377897 13837196 20755794 27674392 31133691 41511588 55348784 62267382 83023176 93401073 110697568 124534764 166046352 186802146 249069528 332092704 373604292 498139056 747208584 996278112 1494417168 1553225251 2988834336 3106450502 4659675753 6212901004 9319351506 12425802008 13979027259 18638703012 24851604016 27958054518 37277406024 41937081777 49703208032 55916109036 74554812048 83874163554 111832218072 149109624096 167748327108 223664436144 335496654216 447328872288 670993308432 1341986616864