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2026106264 = 237136741539
BaseRepresentation
bin111100011000011…
…1110110110011000
312020012110212021202
41320300332312120
513122140400024
6533014253332
7101131422230
oct17060766630
95205425252
102026106264
1194a758696
12486657248
132639b7c60
14153132cc0
15bcd1cbae
hex78c3ed98

2026106264 has 64 divisors (see below), whose sum is σ = 4745529600. Its totient is φ = 789554304.

The previous prime is 2026106263. The next prime is 2026106309. The reversal of 2026106264 is 4626016202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026106261) 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, 28007 + ... + 69545.

It is an arithmetic number, because the mean of its divisors is an integer number (74148900).

Almost surely, 22026106264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026106264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372764800).

2026106264 is an abundant number, since it is smaller than the sum of its proper divisors (2719423336).

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

2026106264 is a wasteful number, since it uses less digits than its factorization.

2026106264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41632 (or 41628 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2026106264 is about 45012.2901439151. The cubic root of 2026106264 is about 1265.3793409982.

The spelling of 2026106264 in words is "two billion, twenty-six million, one hundred six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 67 91 104 134 182 268 364 469 536 728 871 938 1742 1876 3484 3752 6097 6968 12194 24388 41539 48776 83078 166156 290773 332312 540007 581546 1080014 1163092 2160028 2326184 2783113 3780049 4320056 5566226 7560098 11132452 15120196 19481791 22264904 30240392 36180469 38963582 72360938 77927164 144721876 155854328 253263283 289443752 506526566 1013053132 2026106264