Search a number
-
+
10038536361 = 337219399353
BaseRepresentation
bin10010101100101011…
…11110100010101001
3221220121021111002000
421112111332202221
5131024331130421
64340040401213
7503523102600
oct112625764251
927817244060
1010038536361
114291545a47
121b41a76209
13c3c990a59
146b3314a37
153db471226
hex25657e8a9

10038536361 has 48 divisors (see below), whose sum is σ = 18210542400. Its totient is φ = 5434382016.

The previous prime is 10038536317. The next prime is 10038536371. The reversal of 10038536361 is 16363583001.

It is a happy number.

10038536361 is a `hidden beast` number, since 10 + 0 + 3 + 8 + 5 + 3 + 636 + 1 = 666.

10038536361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10038536361 - 29 = 10038535849 is a prime.

It is a super-2 number, since 2×100385363612 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10038536371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174540 + ... + 224813.

It is an arithmetic number, because the mean of its divisors is an integer number (379386300).

Almost surely, 210038536361 is an apocalyptic number.

It is an amenable number.

10038536361 is a deficient number, since it is larger than the sum of its proper divisors (8172006039).

10038536361 is a wasteful number, since it uses less digits than its factorization.

10038536361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399395 (or 399382 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10038536361 in words is "ten billion, thirty-eight million, five hundred thirty-six thousand, three hundred sixty-one".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 931 1197 1323 2793 3591 8379 25137 399353 1198059 2795471 3594177 7587707 8386413 10782531 19568297 22763121 25159239 53113949 58704891 68289363 75477717 159341847 176114673 204868089 371797643 478025541 528344019 1115392929 1434076623 3346178787 10038536361