Search a number
-
+
10012636764 = 2232132273072
BaseRepresentation
bin10010101001100110…
…01011011001011100
3221211210112122111200
421110303023121130
5131001213334024
64333313315500
7503060002554
oct112463133134
927753478450
1010012636764
114278966219
121b35265b90
13c374c3250
146adad2164
153d90572c9
hex254ccb65c

10012636764 has 108 divisors (see below), whose sum is σ = 27466160904. Its totient is φ = 3057248448.

The previous prime is 10012636757. The next prime is 10012636813. The reversal of 10012636764 is 46763621001.

It is a happy number.

10012636764 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 636 + 7 + 6 + 4 = 666.

10012636764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 32614299 + ... + 32614605.

Almost surely, 210012636764 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 10012636764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733080452).

10012636764 is an abundant number, since it is smaller than the sum of its proper divisors (17453524140).

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

10012636764 is a wasteful number, since it uses less digits than its factorization.

10012636764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10012636764 in words is "ten billion, twelve million, six hundred thirty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 227 234 307 454 468 614 681 908 921 1228 1362 1842 2043 2724 2763 2951 3684 3991 4086 5526 5902 7982 8172 8853 11052 11804 11973 15964 17706 23946 26559 35412 35919 47892 53118 69689 71838 94249 106236 139378 143676 188498 209067 278756 282747 376996 418134 565494 627201 836268 848241 905957 1130988 1225237 1254402 1696482 1811914 2450474 2508804 2717871 3392964 3623828 3675711 4900948 5435742 7351422 8153613 10871484 11027133 14702844 16307226 21394523 22054266 32614452 42789046 44108532 64183569 85578092 128367138 192550707 256734276 278128799 385101414 556257598 770202828 834386397 1112515196 1668772794 2503159191 3337545588 5006318382 10012636764