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11923329648 = 2434367151571
BaseRepresentation
bin10110001101010111…
…11001001001110000
31010202221211220101210
423012223321021300
5143404333022043
65251050200120
7601320426006
oct130653711160
933687756353
1011923329648
11506945504a
122389123040
1311802cbb59
14811780a76
1549bb78633
hex2c6af9270

11923329648 has 160 divisors (see below), whose sum is σ = 32256919552. Its totient is φ = 3792096000.

The previous prime is 11923329643. The next prime is 11923329653. The reversal of 11923329648 is 84692332911.

11923329648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11923329643) and next prime (11923329653).

It is a super-4 number, since 4×119233296484 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11923329597 and 11923329606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11923329641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20881203 + ... + 20881773.

Almost surely, 211923329648 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 11923329648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128459776).

11923329648 is an abundant number, since it is smaller than the sum of its proper divisors (20333589904).

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

11923329648 is a wasteful number, since it uses less digits than its factorization.

11923329648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The spelling of 11923329648 in words is "eleven billion, nine hundred twenty-three million, three hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 67 86 129 134 151 172 201 258 268 302 344 402 453 516 536 571 604 688 804 906 1032 1072 1142 1208 1608 1713 1812 2064 2284 2416 2881 3216 3426 3624 4568 5762 6493 6852 7248 8643 9136 10117 11524 12986 13704 17286 19479 20234 23048 24553 25972 27408 30351 34572 38257 38958 40468 46096 49106 51944 60702 69144 73659 76514 77916 80936 86221 98212 103888 114771 121404 138288 147318 153028 155832 161872 172442 196424 229542 242808 258663 294636 306056 311664 344884 392848 435031 459084 485616 517326 589272 612112 689768 870062 918168 1034652 1178544 1305093 1379536 1645051 1740124 1836336 2069304 2610186 3290102 3480248 3707503 4138608 4935153 5220372 5776807 6580204 6960496 7415006 9870306 10440744 11122509 11553614 13160408 14830012 17330421 19740612 20881488 22245018 23107228 26320816 29660024 34660842 39481224 44490036 46214456 59320048 69321684 78962448 88980072 92428912 138643368 177960144 248402701 277286736 496805402 745208103 993610804 1490416206 1987221608 2980832412 3974443216 5961664824 11923329648