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10090295264115 = 32511113180393229
BaseRepresentation
bin1001001011010101010001…
…1101110000001101110011
31022201121211000200221011200
42102311110131300031303
52310304411041422430
633243230113542243
72060666631414213
oct222652435601563
938647730627150
1010090295264115
1132402a7694440
12116b697574983
135826841aaaa1
1426c53132a243
15127712195460
hex92d54770373

10090295264115 has 48 divisors (see below), whose sum is σ = 19248679213920. Its totient is φ = 4848969968640.

The previous prime is 10090295263981. The next prime is 10090295264117. The reversal of 10090295264115 is 51146259209001.

10090295264115 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 2 + 9 + 526 + 4 + 115 = 666.

10090295264115 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10090295264115 - 221 = 10090293166963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10090295264117) 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, 90140680 + ... + 90252549.

It is an arithmetic number, because the mean of its divisors is an integer number (401014150290).

Almost surely, 210090295264115 is an apocalyptic number.

10090295264115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10090295264115 is a deficient number, since it is larger than the sum of its proper divisors (9158383949805).

10090295264115 is a wasteful number, since it uses less digits than its factorization.

10090295264115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180393364 (or 180393361 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10090295264115 in words is "ten trillion, ninety billion, two hundred ninety-five million, two hundred sixty-four thousand, one hundred fifteen".

Divisors: 1 3 5 9 11 15 33 45 55 99 113 165 339 495 565 1017 1243 1695 3729 5085 6215 11187 18645 55935 180393229 541179687 901966145 1623539061 1984325519 2705898435 5952976557 8117695305 9921627595 17858929671 20384434877 29764882785 61153304631 89294648355 101922174385 183459913893 224228783647 305766523155 672686350941 917299569465 1121143918235 2018059052823 3363431754705 10090295264115