Search a number
-
+
10489196004 = 22371094092801
BaseRepresentation
bin10011100010011010…
…00110110111100100
31000002000021100212220
421301031012313210
5132440213233004
64452455512340
7520634460240
oct116115066744
930060240786
1010489196004
1144a2972231
1220489886b0
13cb215ba71
14717105420
15415cdedd9
hex271346de4

10489196004 has 96 divisors (see below), whose sum is σ = 28306924800. Its totient is φ = 2961100800.

The previous prime is 10489195999. The next prime is 10489196017. The reversal of 10489196004 is 40069198401.

10489196004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104891960042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 3743404 + ... + 3746204.

It is an arithmetic number, because the mean of its divisors is an integer number (294863800).

Almost surely, 210489196004 is an apocalyptic number.

10489196004 is a gapful number since it is divisible by the number (14) 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 10489196004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153462400).

10489196004 is an abundant number, since it is smaller than the sum of its proper divisors (17817728796).

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

10489196004 is a wasteful number, since it uses less digits than its factorization.

10489196004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 10489196004 in words is "ten billion, four hundred eighty-nine million, one hundred ninety-six thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 409 436 654 763 818 1227 1308 1526 1636 2289 2454 2801 2863 3052 4578 4908 5602 5726 8403 8589 9156 11204 11452 16806 17178 19607 33612 34356 39214 44581 58821 78428 89162 117642 133743 178324 235284 267486 305309 312067 534972 610618 624134 915927 936201 1145609 1221236 1248268 1831854 1872402 2137163 2291218 3436827 3663708 3744804 4274326 4582436 6411489 6873654 8019263 8548652 12822978 13747308 16038526 24057789 25645956 32077052 48115578 96231156 124871381 249742762 374614143 499485524 749228286 874099667 1498456572 1748199334 2622299001 3496398668 5244598002 10489196004