Search a number
-
+
10121492466 = 232619218117
BaseRepresentation
bin10010110110100100…
…11011011111110010
3222010101101002110100
421123102123133302
5131212100224331
64352202413230
7505551160251
oct113322333762
928111332410
1010121492466
114324356108
121b65801216
13c53c177c7
146c034a798
153e38aaae6
hex25b49b7f2

10121492466 has 24 divisors (see below), whose sum is σ = 22289409324. Its totient is φ = 3318521760.

The previous prime is 10121492411. The next prime is 10121492477. The reversal of 10121492466 is 66429412101.

10121492466 is a `hidden beast` number, since 1 + 0 + 121 + 492 + 46 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8769386025 + 1352106441 = 93645^2 + 36771^2 .

It is a super-2 number, since 2×101214924662 (a number of 21 digits) 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 10121492466.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4607961 + ... + 4610156.

Almost surely, 210121492466 is an apocalyptic number.

10121492466 is an abundant number, since it is smaller than the sum of its proper divisors (12167916858).

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

10121492466 is a wasteful number, since it uses less digits than its factorization.

10121492466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218186 (or 9218183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10121492466 in words is "ten billion, one hundred twenty-one million, four hundred ninety-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 9218117 18436234 27654351 55308702 82963053 165926106 562305137 1124610274 1686915411 3373830822 5060746233 10121492466