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20135054324 = 2272119379967
BaseRepresentation
bin10010110000001001…
…001000101111110100
31220222020122201221202
4102300021020233310
5312214033214244
613125552032032
71311652065200
oct226011105764
956866581852
1020135054324
1185a2793370
123a9b232618
131b8b672b38
14d901ddb00
157cca4704e
hex4b0248bf4

20135054324 has 72 divisors (see below), whose sum is σ = 44767723392. Its totient is φ = 7835667840.

The previous prime is 20135054299. The next prime is 20135054369. The reversal of 20135054324 is 42345053102.

It is a happy number.

It is a congruent number.

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, 2015189 + ... + 2025155.

It is an arithmetic number, because the mean of its divisors is an integer number (621773936).

Almost surely, 220135054324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135054324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22383861696).

20135054324 is an abundant number, since it is smaller than the sum of its proper divisors (24632669068).

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

20135054324 is a wasteful number, since it uses less digits than its factorization.

20135054324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10933 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 20135054324 in words is "twenty billion, one hundred thirty-five million, fifty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 937 1078 1874 2156 3748 6559 9967 10307 13118 19934 20614 26236 39868 41228 45913 69769 72149 91826 109637 139538 144298 183652 219274 279076 288596 438548 488383 505043 767459 976766 1010086 1534918 1953532 2020172 3069836 5372213 9339079 10744426 18678158 21488852 37356316 65373553 102729869 130747106 205459738 261494212 410919476 457614871 719109083 915229742 1438218166 1830459484 2876436332 5033763581 10067527162 20135054324