Search a number
-
+
11510314764 = 223132316319681
BaseRepresentation
bin10101011100001000…
…10111011100001100
31002201011200120111020
422232010113130030
5142033120033024
65142053554140
7555144026664
oct125604273414
932634616436
1011510314764
1149772aa933
122292945950
131115881650
147b298d1a4
15475793979
hex2ae11770c

11510314764 has 96 divisors (see below), whose sum is σ = 30367593984. Its totient is φ = 3366696960.

The previous prime is 11510314759. The next prime is 11510314801. The reversal of 11510314764 is 46741301511.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575004 + ... + 594684.

It is an arithmetic number, because the mean of its divisors is an integer number (316329104).

Almost surely, 211510314764 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 11510314764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183796992).

11510314764 is an abundant number, since it is smaller than the sum of its proper divisors (18857279220).

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

11510314764 is a wasteful number, since it uses less digits than its factorization.

11510314764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19887 (or 19885 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11510314764 in words is "eleven billion, five hundred ten million, three hundred fourteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 163 276 299 326 489 598 652 897 978 1196 1794 1956 2119 3588 3749 4238 6357 7498 8476 11247 12714 14996 19681 22494 25428 39362 44988 48737 59043 78724 97474 118086 146211 194948 236172 255853 292422 452663 511706 584844 767559 905326 1023412 1357989 1535118 1810652 2715978 3070236 3208003 5431956 5884619 6416006 9624009 11769238 12832012 17653857 19248018 23538476 35307714 38496036 41704039 70615428 73784069 83408078 125112117 147568138 166816156 221352207 250224234 295136276 442704414 500448468 885408828 959192897 1918385794 2877578691 3836771588 5755157382 11510314764