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10024013808 = 2432531379587
BaseRepresentation
bin10010101010111101…
…00100111111110000
3221212120221122212200
421111132210333300
5131012121420213
64334401223200
7503255466024
oct112536447760
927776848780
1010024013808
114284326a36
121b39031b00
13c39977823
146b1414384
153da053273
hex2557a4ff0

10024013808 has 120 divisors (see below), whose sum is σ = 28794259728. Its totient is φ = 3254025216.

The previous prime is 10024013737. The next prime is 10024013809. The reversal of 10024013808 is 80831042001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024013809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040791 + ... + 1050377.

Almost surely, 210024013808 is an apocalyptic number.

10024013808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024013808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397129864).

10024013808 is an abundant number, since it is smaller than the sum of its proper divisors (18770245920).

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

10024013808 is a wasteful number, since it uses less digits than its factorization.

10024013808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10024013808 its reverse (80831042001), we get a palindrome (90855055809).

The spelling of 10024013808 in words is "ten billion, twenty-four million, thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 137 144 159 212 274 318 411 424 477 548 636 822 848 954 1096 1233 1272 1644 1908 2192 2466 2544 3288 3816 4932 6576 7261 7632 9587 9864 14522 19174 19728 21783 28761 29044 38348 43566 57522 58088 65349 76696 86283 87132 115044 116176 130698 153392 172566 174264 230088 261396 345132 348528 460176 508111 522792 690264 1016222 1045584 1313419 1380528 1524333 2032444 2626838 3048666 3940257 4064888 4572999 5253676 6097332 7880514 8129776 9145998 10507352 11820771 12194664 15761028 18291996 21014704 23641542 24389328 31522056 36583992 47283084 63044112 69611207 73167984 94566168 139222414 189132336 208833621 278444828 417667242 556889656 626500863 835334484 1113779312 1253001726 1670668968 2506003452 3341337936 5012006904 10024013808