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10686488136 = 233194721032
BaseRepresentation
bin10011111001111011…
…01101111001001000
31000120202111211210220
421330331231321020
5133341220110021
64524224310040
7525551436042
oct117475557110
930522454726
1010686488136
114594275785
1220a2a72320
131013ca867c
147353c0a92
154282b1cc6
hex27cf6de48

10686488136 has 144 divisors (see below), whose sum is σ = 29015089200. Its totient is φ = 3270811968.

The previous prime is 10686488101. The next prime is 10686488171. The reversal of 10686488136 is 63188468601.

It is an interprime number because it is at equal distance from previous prime (10686488101) and next prime (10686488171).

It is a super-2 number, since 2×106864881362 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103752261 + ... + 103752363.

It is an arithmetic number, because the mean of its divisors is an integer number (201493675).

Almost surely, 210686488136 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 10686488136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507544600).

10686488136 is an abundant number, since it is smaller than the sum of its proper divisors (18328601064).

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

10686488136 is a wasteful number, since it uses less digits than its factorization.

10686488136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

It can be divided in two parts, 106864 and 88136, that added together give a triangular number (195000 = T624).

The spelling of 10686488136 in words is "ten billion, six hundred eighty-six million, four hundred eighty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 103 114 141 152 188 206 228 282 309 376 412 456 564 618 824 893 1128 1236 1786 1957 2209 2472 2679 3572 3914 4418 4841 5358 5871 6627 7144 7828 8836 9682 10609 10716 11742 13254 14523 15656 17672 19364 21218 21432 23484 26508 29046 31827 38728 41971 42436 46968 53016 58092 63654 83942 84872 91979 116184 125913 127308 167884 183958 201571 227527 251826 254616 275937 335768 367916 403142 455054 498623 503652 551874 604713 682581 735832 806284 910108 997246 1007304 1103748 1209426 1365162 1495869 1612568 1820216 1994492 2207496 2418852 2730324 2991738 3988984 4323013 4837704 5460648 5983476 8646026 9473837 11966952 12969039 17292052 18947674 23435281 25938078 28421511 34584104 37895348 46870562 51876156 56843022 70305843 75790696 93741124 103752312 113686044 140611686 187482248 227372088 281223372 445270339 562446744 890540678 1335811017 1781081356 2671622034 3562162712 5343244068 10686488136