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10234424460 = 22351318796983
BaseRepresentation
bin10011000100000010…
…01110110010001100
3222102020212122000210
421202001032302030
5131430003040320
64411315122420
7511422113121
oct114201166214
928366778023
1010234424460
11438207a637
121b975a3410
13c71438580
146d1346748
153ed7670e0
hex26204ec8c

10234424460 has 96 divisors (see below), whose sum is σ = 30881571840. Its totient is φ = 2517541632.

The previous prime is 10234424449. The next prime is 10234424513. The reversal of 10234424460 is 6442443201.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1462129 + ... + 1469111.

It is an arithmetic number, because the mean of its divisors is an integer number (321683040).

Almost surely, 210234424460 is an apocalyptic number.

10234424460 is a gapful number since it is divisible by the number (10) 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 10234424460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440785920).

10234424460 is an abundant number, since it is smaller than the sum of its proper divisors (20647147380).

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

10234424460 is a wasteful number, since it uses less digits than its factorization.

10234424460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10234424460 its reverse (6442443201), we get a palindrome (16676867661).

The spelling of 10234424460 in words is "ten billion, two hundred thirty-four million, four hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1879 3758 5637 6983 7516 9395 11274 13966 18790 20949 22548 24427 27932 28185 34915 37580 41898 48854 56370 69830 73281 83796 90779 97708 104745 112740 122135 139660 146562 181558 209490 244270 272337 293124 363116 366405 418980 453895 488540 544674 732810 907790 1089348 1361685 1465620 1815580 2723370 5446740 13121057 26242114 39363171 52484228 65605285 78726342 131210570 157452684 170573741 196815855 262421140 341147482 393631710 511721223 682294964 787263420 852868705 1023442446 1705737410 2046884892 2558606115 3411474820 5117212230 10234424460