Search a number
-
+
10363445604 = 22321134016353
BaseRepresentation
bin10011010011011010…
…11010000101100100
3222202020122120202200
421221231122011210
5132211020224404
64432204334500
7514546556061
oct115155320544
928666576680
1010363445604
114438993086
122012844430
13c920a0645
1470452dc68
15409c50839
hex269b5a164

10363445604 has 72 divisors (see below), whose sum is σ = 26498391192. Its totient is φ = 3414835200.

The previous prime is 10363445591. The next prime is 10363445627. The reversal of 10363445604 is 40654436301.

10363445604 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 3 + 4 + 45 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1489805604 + 8873640000 = 38598^2 + 94200^2 .

It is a super-3 number, since 3×103634456043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1628092 + ... + 1634444.

It is an arithmetic number, because the mean of its divisors is an integer number (368033211).

Almost surely, 210363445604 is an apocalyptic number.

It is an amenable number.

10363445604 is an abundant number, since it is smaller than the sum of its proper divisors (16134945588).

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

10363445604 is a wasteful number, since it uses less digits than its factorization.

10363445604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 10363445604 in words is "ten billion, three hundred sixty-three million, four hundred forty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 401 452 678 802 1017 1203 1356 1604 2034 2406 3609 4068 4812 6353 7218 12706 14436 19059 25412 38118 45313 57177 76236 90626 114354 135939 181252 228708 271878 407817 543756 717889 815634 1435778 1631268 2153667 2547553 2871556 4307334 5095106 6461001 7642659 8614668 10190212 12922002 15285318 22927977 25844004 30570636 45855954 91711908 287873489 575746978 863620467 1151493956 1727240934 2590861401 3454481868 5181722802 10363445604