Search a number
-
+
11325274632 = 2333710174161
BaseRepresentation
bin10101000110000100…
…11111101000001000
31002020021111120011000
422203002133220020
5141143232242012
65111443535000
7550436150250
oct124302375010
932207446130
1011325274632
114891905501
12224098a460
1310b6434649
14796182960
154643e1ddc
hex2a309fa08

11325274632 has 128 divisors (see below), whose sum is σ = 36309715200. Its totient is φ = 3203712000.

The previous prime is 11325274607. The next prime is 11325274661. The reversal of 11325274632 is 23647252311.

11325274632 is a `hidden beast` number, since 1 + 1 + 325 + 274 + 63 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 115632 + ... + 189792.

It is an arithmetic number, because the mean of its divisors is an integer number (283669650).

Almost surely, 211325274632 is an apocalyptic number.

11325274632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11325274632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154857600).

11325274632 is an abundant number, since it is smaller than the sum of its proper divisors (24984440568).

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

11325274632 is a wasteful number, since it uses less digits than its factorization.

11325274632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74284 (or 74274 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 11325274632 in words is "eleven billion, three hundred twenty-five million, two hundred seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 101 108 126 168 189 202 216 252 303 378 404 504 606 707 756 808 909 1212 1414 1512 1818 2121 2424 2727 2828 3636 4242 5454 5656 6363 7272 8484 10908 12726 16968 19089 21816 25452 38178 50904 74161 76356 148322 152712 222483 296644 444966 519127 593288 667449 889932 1038254 1334898 1557381 1779864 2002347 2076508 2669796 3114762 4004694 4153016 4672143 5339592 6229524 7490261 8009388 9344286 12459048 14016429 14980522 16018776 18688572 22470783 28032858 29961044 37377144 44941566 52431827 56065716 59922088 67412349 89883132 104863654 112131432 134824698 157295481 179766264 202237047 209727308 269649396 314590962 404474094 419454616 471886443 539298792 629181924 808948188 943772886 1258363848 1415659329 1617896376 1887545772 2831318658 3775091544 5662637316 11325274632