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8680122906 = 237133194951
BaseRepresentation
bin10000001010110000…
…00010101000011010
3211101221011221010120
420011120002220122
5120234102413111
63553153054110
7425046553530
oct100530025032
924357157116
108680122906
1137547808a4
121822b57336
13a84413000
145c4b4a150
1535c093406
hex205602a1a

8680122906 has 128 divisors (see below), whose sum is σ = 22628659200. Its totient is φ = 2168337600.

The previous prime is 8680122883. The next prime is 8680122923. The reversal of 8680122906 is 6092210868.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1750731 + ... + 1755681.

It is an arithmetic number, because the mean of its divisors is an integer number (176786400).

Almost surely, 28680122906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8680122906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314329600).

8680122906 is an abundant number, since it is smaller than the sum of its proper divisors (13948536294).

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

8680122906 is a wasteful number, since it uses less digits than its factorization.

8680122906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8680122906 is about 93167.1771923997. The cubic root of 8680122906 is about 2055.1425838636.

The spelling of 8680122906 in words is "eight billion, six hundred eighty million, one hundred twenty-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 169 182 247 266 273 338 399 494 507 546 741 798 1014 1183 1482 1729 2197 2366 3211 3458 3549 4394 4951 5187 6422 6591 7098 9633 9902 10374 13182 14853 15379 19266 22477 29706 30758 34657 41743 44954 46137 64363 67431 69314 83486 92274 94069 103971 125229 128726 134862 188138 193089 207942 250458 282207 292201 386178 450541 564414 584402 658483 836719 876603 901082 1222897 1316966 1351623 1673438 1753206 1975449 2445794 2510157 2703246 3668691 3950898 5020314 5857033 7337382 8560279 10877347 11714066 15897661 17120558 17571099 21754694 25680837 31795322 32632041 35142198 47692983 51361674 65264082 76141429 95385966 111283627 152282858 206669593 222567254 228424287 333850881 413339186 456848574 620008779 667701762 1240017558 1446687151 2893374302 4340061453 8680122906