Search a number
-
+
10415424357 = 3213176018713
BaseRepresentation
bin10011011001100111…
…01100001101100101
3222212212110101012200
421230303230031211
5132312322034412
64441302405113
7516050434452
oct115463541545
928785411180
1010415424357
114465265528
122028130799
13c9ca9c5c0
1470b3c0829
1540e5bb9dc
hex26ccec365

10415424357 has 48 divisors (see below), whose sum is σ = 17185332528. Its totient is φ = 6021734400.

The previous prime is 10415424317. The next prime is 10415424419. The reversal of 10415424357 is 75342451401.

10415424357 is a `hidden beast` number, since 104 + 1 + 542 + 4 + 3 + 5 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1942958241 + 8472466116 = 44079^2 + 92046^2 .

It is not a de Polignac number, because 10415424357 - 26 = 10415424293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10415424317) 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, 1191033 + ... + 1199745.

It is an arithmetic number, because the mean of its divisors is an integer number (358027761).

Almost surely, 210415424357 is an apocalyptic number.

10415424357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10415424357 is a deficient number, since it is larger than the sum of its proper divisors (6769908171).

10415424357 is a wasteful number, since it uses less digits than its factorization.

10415424357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 10415424357 its reverse (75342451401), we get a palindrome (85757875758).

The spelling of 10415424357 in words is "ten billion, four hundred fifteen million, four hundred twenty-four thousand, three hundred fifty-seven".

Divisors: 1 3 9 13 17 39 51 117 153 221 601 663 1803 1989 5409 7813 8713 10217 23439 26139 30651 70317 78417 91953 113269 132821 148121 339807 398463 444363 1019421 1195389 1333089 1925573 5236513 5776719 15709539 17330157 47128617 68074669 89020721 204224007 267062163 612672021 801186489 1157269373 3471808119 10415424357