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23136403864 = 23747163199271
BaseRepresentation
bin10101100011000010…
…011000000110011000
32012201102020002111211
4111203002120012120
5334340404410424
614343445232504
71446225121330
oct254302300630
965642202454
1023136403864
1198a2995732
124598402734
13224940a702
141196a780c0
159062a5b94
hex563098198

23136403864 has 128 divisors (see below), whose sum is σ = 51388416000. Its totient is φ = 9561214080.

The previous prime is 23136403837. The next prime is 23136403877. The reversal of 23136403864 is 46830463132.

It is a super-2 number, since 2×231364038642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85374049 + ... + 85374319.

It is an arithmetic number, because the mean of its divisors is an integer number (401472000).

Almost surely, 223136403864 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 23136403864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25694208000).

23136403864 is an abundant number, since it is smaller than the sum of its proper divisors (28252012136).

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

23136403864 is a wasteful number, since it uses less digits than its factorization.

23136403864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

Adding to 23136403864 its reverse (46830463132), we get a palindrome (69966866996).

The spelling of 23136403864 in words is "twenty-three billion, one hundred thirty-six million, four hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 163 188 199 271 326 329 376 398 542 652 658 796 1084 1141 1304 1316 1393 1592 1897 2168 2282 2632 2786 3794 4564 5572 7588 7661 9128 9353 11144 12737 15176 15322 18706 25474 30644 32437 37412 44173 50948 53627 53929 61288 64874 65471 74824 88346 89159 101896 107254 107858 129748 130942 176692 178318 214508 215716 227059 259496 261884 309211 353384 356636 377503 429016 431432 454118 523768 618422 713272 755006 908236 1236844 1510012 1524539 1816472 2076131 2473688 2534663 3020024 3049078 4152262 5069326 6098156 8304524 8790427 10138652 10671773 12196312 14532917 16609048 17580854 17742641 20277304 21343546 29065834 35161708 35485282 42687092 58131668 61532989 70323416 70970564 85374184 116263336 123065978 141941128 246131956 413150069 492263912 826300138 1652600276 2892050483 3305200552 5784100966 11568201932 23136403864