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6888106134 = 2337135412591
BaseRepresentation
bin1100110101001000…
…00010100010010110
3122210001012001021000
412122210002202112
5103101323344014
63055300004130
7332456636040
oct63244024226
918701161230
106888106134
112a1517a0a8
121402990646
1385a089860
14494b50a90
152a4ab5509
hex19a902896

6888106134 has 128 divisors (see below), whose sum is σ = 18881372160. Its totient is φ = 1812585600.

The previous prime is 6888106133. The next prime is 6888106193. The reversal of 6888106134 is 4316018886.

It is a happy number.

It is a super-2 number, since 2×68881061342 = 94892012226496851912, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6888106134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6888106133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2657179 + ... + 2659769.

It is an arithmetic number, because the mean of its divisors is an integer number (147510720).

Almost surely, 26888106134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6888106134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9440686080).

6888106134 is an abundant number, since it is smaller than the sum of its proper divisors (11993266026).

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

6888106134 is a wasteful number, since it uses less digits than its factorization.

6888106134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6888106134 is about 82994.6150903780. The cubic root of 6888106134 is about 1902.6837544049.

The spelling of 6888106134 in words is "six billion, eight hundred eighty-eight million, one hundred six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 541 546 702 819 1082 1623 1638 2457 2591 3246 3787 4869 4914 5182 7033 7574 7773 9738 11361 14066 14607 15546 18137 21099 22722 23319 29214 33683 34083 36274 42198 46638 49231 54411 63297 67366 68166 69957 98462 101049 102249 108822 126594 139914 147693 163233 189891 202098 204498 235781 295386 303147 326466 379782 443079 471562 489699 606294 707343 886158 909441 979398 1329237 1401731 1414686 1818882 2122029 2658474 2803462 4205193 4244058 6366087 8410386 9812117 12615579 12732174 18222503 19624234 25231158 29436351 36445006 37846737 54667509 58872702 75693474 88309053 109335018 127557521 164002527 176618106 255115042 264927159 328005054 382672563 492007581 529854318 765345126 984015162 1148017689 2296035378 3444053067 6888106134