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13631389038 = 23217471576037
BaseRepresentation
bin11001011000111111…
…00111110101101110
31022011222212022101200
430230133213311232
5210404113422123
610132343550330
7661540616001
oct145437476556
938158768350
1013631389038
115865622383
12278515b3a6
13139313a897
14934563538
1554bac0143
hex32c7e7d6e

13631389038 has 96 divisors (see below), whose sum is σ = 32146118784. Its totient is φ = 4158176256.

The previous prime is 13631389019. The next prime is 13631389097. The reversal of 13631389038 is 83098313631.

13631389038 is a `hidden beast` number, since 1 + 3 + 631 + 3 + 8 + 9 + 0 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13631388984 and 13631389002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2254956 + ... + 2260992.

It is an arithmetic number, because the mean of its divisors is an integer number (334855404).

Almost surely, 213631389038 is an apocalyptic number.

13631389038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13631389038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073059392).

13631389038 is an abundant number, since it is smaller than the sum of its proper divisors (18514729746).

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

13631389038 is a wasteful number, since it uses less digits than its factorization.

13631389038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13631389038 in words is "thirteen billion, six hundred thirty-one million, three hundred eighty-nine thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 157 282 306 314 423 471 799 846 942 1413 1598 2397 2669 2826 4794 5338 6037 7191 7379 8007 12074 14382 14758 16014 18111 22137 24021 36222 44274 48042 54333 66411 102629 108666 125443 132822 205258 250886 283739 307887 376329 567478 615774 752658 851217 923661 947809 1128987 1702434 1847322 1895618 2257974 2553651 2843427 4823563 5107302 5686854 8530281 9647126 14470689 16112753 17060562 28941378 32225506 43412067 44547023 48338259 86824134 89094046 96676518 133641069 145014777 267282138 290029554 400923207 757299391 801846414 1514598782 2271898173 4543796346 6815694519 13631389038