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268379606154704 = 24114633293486233
BaseRepresentation
bin111101000001011011111111…
…000101101111110111010000
31022012020211200012100122222012
4331001123333011233313100
5240134112413133422304
62350443520005202052
7110346533554460552
oct7501337705576720
91265224605318865
10268379606154704
117857217403a190
1226125923100328
13b69a11bbc9b75
144a3b8dc4754d2
152106281d8a16e
hexf416ff16fdd0

268379606154704 has 40 divisors (see below), whose sum is σ = 568482071878272. Its totient is φ = 121727251134720.

The previous prime is 268379606154683. The next prime is 268379606154707. The reversal of 268379606154704 is 407451606973862.

It is a super-2 number, since 2×2683796061547042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268379606154707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1646661629 + ... + 1646824604.

It is a 2-persistent number, because it is pandigital, and so is 2⋅268379606154704 = 536759212309408, but 3⋅268379606154704 = 805138818464112 is not.

Almost surely, 2268379606154704 is an apocalyptic number.

It is an amenable number.

268379606154704 is an abundant number, since it is smaller than the sum of its proper divisors (300102465723568).

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

268379606154704 is a wasteful number, since it uses less digits than its factorization.

268379606154704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293486715 (or 3293486709 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 68.

The spelling of 268379606154704 in words is "two hundred sixty-eight trillion, three hundred seventy-nine billion, six hundred six million, one hundred fifty-four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 463 926 1852 3704 5093 7408 10186 20372 40744 81488 3293486233 6586972466 13173944932 26347889864 36228348563 52695779728 72456697126 144913394252 289826788504 579653577008 1524884125879 3049768251758 6099536503516 12199073007032 16773725384669 24398146014064 33547450769338 67094901538676 134189803077352 268379606154704