Search a number
-
+
11528134024 = 23111913949603
BaseRepresentation
bin10101011110010000…
…10101110110001000
31002202102012212220211
422233020111312020
5142102200242044
65143531530504
7555451344121
oct125710256610
932672185824
1011528134024
1149863707a0
1222988b9a34
1311194802a4
147b50ab048
15477113634
hex2af215d88

11528134024 has 64 divisors (see below), whose sum is σ = 25000416000. Its totient is φ = 4928454720.

The previous prime is 11528134019. The next prime is 11528134091. The reversal of 11528134024 is 42043182511.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207607 + ... + 257209.

It is an arithmetic number, because the mean of its divisors is an integer number (390631500).

Almost surely, 211528134024 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 11528134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500208000).

11528134024 is an abundant number, since it is smaller than the sum of its proper divisors (13472281976).

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

11528134024 is a wasteful number, since it uses less digits than its factorization.

11528134024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49778 (or 49774 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 11528134024 in words is "eleven billion, five hundred twenty-eight million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 139 152 209 278 418 556 836 1112 1529 1672 2641 3058 5282 6116 10564 12232 21128 29051 49603 58102 99206 116204 198412 232408 396824 545633 942457 1091266 1884914 2182532 3769828 4365064 6894817 7539656 10367027 13789634 20734054 27579268 41468108 55158536 75842987 82936216 131001523 151685974 262003046 303371948 524006092 606743896 1048012184 1441016753 2882033506 5764067012 11528134024