Search a number
-
+
11520004076 = 22721911932593
BaseRepresentation
bin10101011101010010…
…10100111111101100
31002201211220211201122
422232221110333230
5142043110112301
65143041400112
7555322263500
oct125651247754
932654824648
1011520004076
114981818629
122296039038
131117894979
147b3d92300
1547655981b
hex2aea54fec

11520004076 has 72 divisors (see below), whose sum is σ = 24715943280. Its totient is φ = 4671571968.

The previous prime is 11520004063. The next prime is 11520004081. The reversal of 11520004076 is 67040002511.

It is a super-2 number, since 2×115200040762 (a number of 21 digits) contains 22 as substring.

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, 4441436 + ... + 4444028.

It is an arithmetic number, because the mean of its divisors is an integer number (343276990).

Almost surely, 211520004076 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 11520004076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357971640).

11520004076 is an abundant number, since it is smaller than the sum of its proper divisors (13195939204).

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

11520004076 is a wasteful number, since it uses less digits than its factorization.

11520004076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 11520004076 its reverse (67040002511), we get a palindrome (78560006587).

The spelling of 11520004076 in words is "eleven billion, five hundred twenty million, four thousand, seventy-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1193 1862 2386 2593 3724 4772 5186 8351 10372 16702 18151 22667 33404 36302 45334 49267 58457 72604 90668 98534 116914 127057 158669 197068 233828 254114 317338 344869 508228 634676 689738 1110683 1379476 2221366 2414083 3093449 4442732 4828166 6186898 9656332 12373796 21654143 43308286 58775531 86616572 117551062 151579001 235102124 303158002 411428717 606316004 822857434 1645714868 2880001019 5760002038 11520004076