Search a number
-
+
10363522440 = 2335412106407
BaseRepresentation
bin10011010011011011…
…01100110110001000
3222202020210111011110
421221231230312020
5132211030204230
64432210130320
7514550326065
oct115155546610
928666714143
1010363522440
114438a35887
1220128809a0
13c920c95cb
1470454dc6c
15409c684b0
hex269b6cd88

10363522440 has 64 divisors (see below), whose sum is σ = 31848888960. Its totient is φ = 2696199680.

The previous prime is 10363522409. The next prime is 10363522441. The reversal of 10363522440 is 4422536301.

10363522440 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-3 number, since 3×103635224403 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10363522398 and 10363522407.

It is not an unprimeable number, because it can be changed into a prime (10363522441) 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 15 ways as a sum of consecutive naturals, for example, 1048284 + ... + 1058123.

It is an arithmetic number, because the mean of its divisors is an integer number (497638890).

Almost surely, 210363522440 is an apocalyptic number.

10363522440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10363522440 is an abundant number, since it is smaller than the sum of its proper divisors (21485366520).

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

10363522440 is a wasteful number, since it uses less digits than its factorization.

10363522440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106462 (or 2106458 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 10363522440 in words is "ten billion, three hundred sixty-three million, five hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 2106407 4212814 6319221 8425628 10532035 12638442 16851256 21064070 25276884 31596105 42128140 50553768 63192210 84256280 86362687 126384420 172725374 252768840 259088061 345450748 431813435 518176122 690901496 863626870 1036352244 1295440305 1727253740 2072704488 2590880610 3454507480 5181761220 10363522440