Search a number
-
+
12602132030304 = 253314585800961
BaseRepresentation
bin1011011101100010100110…
…0110100110001101100000
31122121202022020201112001000
42313120221212212031200
53122433131244432204
642445201201112000
72440321402560225
oct267305146461540
948552266645030
1012602132030304
114019596aa3313
1214b6464628600
137054b6c7108b
14317d3708994c
1516cc25031039
hexb76299a6360

12602132030304 has 48 divisors (see below), whose sum is σ = 36756218424240. Its totient is φ = 4200710676480.

The previous prime is 12602132030287. The next prime is 12602132030377. The reversal of 12602132030304 is 40303023120621.

12602132030304 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 2 + 1 + 320 + 30 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7292899617 + ... + 7292901344.

It is an arithmetic number, because the mean of its divisors is an integer number (765754550505).

Almost surely, 212602132030304 is an apocalyptic number.

It is an amenable number.

12602132030304 is an abundant number, since it is smaller than the sum of its proper divisors (24154086393936).

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

12602132030304 is a wasteful number, since it uses less digits than its factorization.

12602132030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585800980 (or 14585800966 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12602132030304 its reverse (40303023120621), we get a palindrome (52905155150925).

The spelling of 12602132030304 in words is "twelve trillion, six hundred two billion, one hundred thirty-two million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14585800961 29171601922 43757402883 58343203844 87514805766 116686407688 131272208649 175029611532 233372815376 262544417298 350059223064 393816625947 466745630752 525088834596 700118446128 787633251894 1050177669192 1400236892256 1575266503788 2100355338384 3150533007576 4200710676768 6301066015152 12602132030304