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6906125226 = 23711137611511
BaseRepresentation
bin1100110111010001…
…10001101110101010
3122211022002111210210
412123220301232222
5103120432001401
63101142121550
7333066044610
oct63350615652
918738074723
106906125226
112a24367110
121408a202b6
13860a28440
144972c16b0
152a64744d6
hex19ba31baa

6906125226 has 128 divisors (see below), whose sum is σ = 18581778432. Its totient is φ = 1652544000.

The previous prime is 6906125207. The next prime is 6906125243. The reversal of 6906125226 is 6225216096.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4569811 + ... + 4571321.

It is an arithmetic number, because the mean of its divisors is an integer number (145170144).

Almost surely, 26906125226 is an apocalyptic number.

6906125226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6906125226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290889216).

6906125226 is an abundant number, since it is smaller than the sum of its proper divisors (11675653206).

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

6906125226 is a wasteful number, since it uses less digits than its factorization.

6906125226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 6906125226 is about 83103.0999782800. The cubic root of 6906125226 is about 1904.3414321683.

The spelling of 6906125226 in words is "six billion, nine hundred six million, one hundred twenty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 761 858 1001 1511 1522 2002 2283 3003 3022 4533 4566 5327 6006 8371 9066 9893 10577 10654 15981 16621 16742 19643 19786 21154 25113 29679 31731 31962 33242 39286 49863 50226 58597 58929 59358 63462 69251 99726 108823 116347 117194 117858 137501 138502 175791 207753 216073 217646 232694 275002 326469 349041 351582 412503 415506 432146 648219 652938 698082 761761 825006 1149871 1296438 1512511 1523522 2285283 2299742 3025022 3449613 4537533 4570566 6899226 8049097 9075066 12648581 14948323 16098194 24147291 25297162 29896646 37945743 44844969 48294582 75891486 88540067 89689938 104638261 164431553 177080134 209276522 265620201 313914783 328863106 493294659 531240402 627829566 986589318 1151020871 2302041742 3453062613 6906125226