Search a number
-
+
11364902064 = 2432314359207
BaseRepresentation
bin10101001010110011…
…01010010010110000
31002100001001211202200
422211121222102300
5141233403331224
65115421143200
7551430034155
oct124531522260
932301054680
1011364902064
11490221114a
1222520bab00
1310c16ca729
1479b53a22c
15467b1d5c9
hex2a566a4b0

11364902064 has 120 divisors (see below), whose sum is σ = 33596040192. Its totient is φ = 3580778880.

The previous prime is 11364902057. The next prime is 11364902077. The reversal of 11364902064 is 46020946311.

11364902064 is a `hidden beast` number, since 1 + 1 + 3 + 649 + 0 + 2 + 0 + 6 + 4 = 666.

11364902064 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×113649020642 (a number of 21 digits) contains 22 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, 162349 + ... + 221555.

Almost surely, 211364902064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364902064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798020096).

11364902064 is an abundant number, since it is smaller than the sum of its proper divisors (22231138128).

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

11364902064 is a wasteful number, since it uses less digits than its factorization.

11364902064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59295 (or 59286 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11364902064 in words is "eleven billion, three hundred sixty-four million, nine hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 43 48 62 72 86 93 124 129 144 172 186 248 258 279 344 372 387 496 516 558 688 744 774 1032 1116 1333 1488 1548 2064 2232 2666 3096 3999 4464 5332 6192 7998 10664 11997 15996 21328 23994 31992 47988 59207 63984 95976 118414 177621 191952 236828 355242 473656 532863 710484 947312 1065726 1420968 1835417 2131452 2545901 2841936 3670834 4262904 5091802 5506251 7341668 7637703 8525808 10183604 11012502 14683336 15275406 16518753 20367208 22025004 22913109 29366672 30550812 33037506 40734416 44050008 45826218 61101624 66075012 78922931 88100016 91652436 122203248 132150024 157845862 183304872 236768793 264300048 315691724 366609744 473537586 631383448 710306379 947075172 1262766896 1420612758 1894150344 2841225516 3788300688 5682451032 11364902064