Search a number
-
+
11040611436 = 22323119794999
BaseRepresentation
bin10100100100001001…
…00101110001101100
31001111102212011122200
422102010211301230
5140102344031221
65023314341500
7540411435351
oct122204456154
931442764580
1011040611436
114756156868
12218158a890
13106c47659a
1476a442628
15449412426
hex292125c6c

11040611436 has 72 divisors (see below), whose sum is σ = 28828800000. Its totient is φ = 3558975840.

The previous prime is 11040611423. The next prime is 11040611441. The reversal of 11040611436 is 63411604011.

11040611436 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 611 + 43 + 6 = 666.

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, 2206065 + ... + 2211063.

It is an arithmetic number, because the mean of its divisors is an integer number (400400000).

Almost surely, 211040611436 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 11040611436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400000).

11040611436 is an abundant number, since it is smaller than the sum of its proper divisors (17788188564).

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

11040611436 is a wasteful number, since it uses less digits than its factorization.

11040611436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11040611436 in words is "eleven billion, forty million, six hundred eleven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1979 3958 4999 5937 7916 9998 11874 14997 17811 19996 23748 29994 35622 44991 59988 61349 71244 89982 122698 154969 179964 184047 245396 309938 368094 464907 552141 619876 736188 929814 1104282 1394721 1859628 2208564 2789442 5578884 9893021 19786042 29679063 39572084 59358126 89037189 118716252 178074378 306683651 356148756 613367302 920050953 1226734604 1840101906 2760152859 3680203812 5520305718 11040611436