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13092419025 = 3252722940949
BaseRepresentation
bin11000011000101111…
…00111010111010001
31020210102200210112100
430030113213113101
5203303124402100
610003051551013
7642304503600
oct141427472721
936712623470
1013092419025
115609369214
12265475b469
13130858ca0a
148c2b45a37
1551960a400
hex30c5e75d1

13092419025 has 108 divisors (see below), whose sum is σ = 28219873500. Its totient is φ = 5778581760.

The previous prime is 13092419009. The next prime is 13092419027. The reversal of 13092419025 is 52091429031.

13092419025 is a `hidden beast` number, since 1 + 309 + 241 + 90 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 308950929 + 12783468096 = 17577^2 + 113064^2 .

It is not a de Polignac number, because 13092419025 - 24 = 13092419009 is a prime.

It is a super-2 number, since 2×130924190252 (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 (13092419027) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 299251 + ... + 340199.

It is an arithmetic number, because the mean of its divisors is an integer number (261295125).

Almost surely, 213092419025 is an apocalyptic number.

13092419025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13092419025 is an abundant number, since it is smaller than the sum of its proper divisors (15127454475).

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

13092419025 is a wasteful number, since it uses less digits than its factorization.

13092419025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41008 (or 40993 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13092419025 in words is "thirteen billion, ninety-two million, four hundred nineteen thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 49 63 75 87 105 145 147 175 203 225 245 261 315 435 441 525 609 725 735 1015 1225 1305 1421 1575 1827 2175 2205 3045 3675 4263 5075 6525 7105 9135 11025 12789 15225 21315 35525 40949 45675 63945 106575 122847 204745 286643 319725 368541 614235 859929 1023725 1187521 1433215 1842705 2006501 2579787 3071175 3562563 4299645 5937605 6019503 7166075 8312647 9213525 10032505 10687689 12898935 17812815 18058509 21498225 24937941 29688025 30097515 41563235 50162525 53438445 58188529 64494675 74813823 89064075 90292545 124689705 150487575 174565587 207816175 267192225 290942645 374069115 451462725 523696761 623448525 872827935 1454713225 1870345575 2618483805 4364139675 13092419025