Search a number
-
+
12101476656 = 2431719241081
BaseRepresentation
bin10110100010100110…
…11110000100110000
31011020101001201011010
423101103132010300
5144240434223111
65320452350520
7605612566023
oct132123360460
934211051133
1012101476656
11514aa71585
122418915440
1311ab1a4499
1482b2b51ba
154ac617aa6
hex2d14de130

12101476656 has 120 divisors (see below), whose sum is σ = 34935804144. Its totient is φ = 3596636160.

The previous prime is 12101476631. The next prime is 12101476661. The reversal of 12101476656 is 65667410121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274036 + ... + 315116.

Almost surely, 212101476656 is an apocalyptic number.

12101476656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101476656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467902072).

12101476656 is an abundant number, since it is smaller than the sum of its proper divisors (22834327488).

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

12101476656 is a wasteful number, since it uses less digits than its factorization.

12101476656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41147 (or 41122 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 12101476656 its reverse (65667410121), we get a palindrome (77768886777).

The spelling of 12101476656 in words is "twelve billion, one hundred one million, four hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 361 408 456 646 722 816 912 969 1083 1292 1444 1938 2166 2584 2888 3876 4332 5168 5776 6137 7752 8664 12274 15504 17328 18411 24548 36822 41081 49096 73644 82162 98192 123243 147288 164324 246486 294576 328648 492972 657296 698377 780539 985944 1396754 1561078 1971888 2095131 2341617 2793508 3122156 4190262 4683234 5587016 6244312 8380524 9366468 11174032 12488624 13269163 14830241 16761048 18732936 26538326 29660482 33522096 37465872 39807489 44490723 53076652 59320964 79614978 88981446 106153304 118641928 159229956 177962892 212306608 237283856 252114097 318459912 355925784 504228194 636919824 711851568 756342291 1008456388 1512684582 2016912776 3025369164 4033825552 6050738328 12101476656