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13026716352 = 263313579893
BaseRepresentation
bin11000010000111001…
…11110101011000000
31020121212001202102000
430020130332223000
5203134314410402
65552343424000
7640546155606
oct141034765300
936555052360
1013026716352
115585272891
122636755000
1312c7a971b0
148b8121876
1551397cc1c
hex30873eac0

13026716352 has 112 divisors (see below), whose sum is σ = 41242061280. Its totient is φ = 4008213504.

The previous prime is 13026716341. The next prime is 13026716363. The reversal of 13026716352 is 25361762031.

13026716352 is a `hidden beast` number, since 1 + 30 + 267 + 16 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (13026716341) and next prime (13026716363).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267483 + ... + 312410.

It is an arithmetic number, because the mean of its divisors is an integer number (368232690).

Almost surely, 213026716352 is an apocalyptic number.

13026716352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13026716352 is an abundant number, since it is smaller than the sum of its proper divisors (28215344928).

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

13026716352 is a wasteful number, since it uses less digits than its factorization.

13026716352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579927 (or 579911 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13026716352 in words is "thirteen billion, twenty-six million, seven hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 579893 1159786 1739679 2319572 3479358 4639144 5219037 6958716 7538609 9278288 10438074 13917432 15077218 15657111 18556576 20876148 22615827 27834864 30154436 31314222 37113152 41752296 45231654 55669728 60308872 62628444 67847481 83504592 90463308 111339456 120617744 125256888 135694962 167009184 180926616 203542443 241235488 250513776 271389924 334018368 361853232 407084886 482470976 501027552 542779848 723706464 814169772 1002055104 1085559696 1447412928 1628339544 2171119392 3256679088 4342238784 6513358176 13026716352