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11156516072 = 2313211297309
BaseRepresentation
bin10100110001111101…
…01110110011101000
31001210111221201220222
422120332232303220
5140322032003242
65043014505212
7543316551632
oct123076566350
931714851828
1011156516072
114805620719
1221b4365208
13108a498400
1477b9b3a52
154546a95d2
hex298faece8

11156516072 has 48 divisors (see below), whose sum is σ = 22674523500. Its totient is φ = 5143896576.

The previous prime is 11156516071. The next prime is 11156516081. The reversal of 11156516072 is 27061565111.

It can be written as a sum of positive squares in 6 ways, for example, as 162154756 + 10994361316 = 12734^2 + 104854^2 .

It is not an unprimeable number, because it can be changed into a prime (11156516071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1522754 + ... + 1530062.

Almost surely, 211156516072 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 11156516072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337261750).

11156516072 is an abundant number, since it is smaller than the sum of its proper divisors (11518007428).

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

11156516072 is a wasteful number, since it uses less digits than its factorization.

11156516072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

The spelling of 11156516072 in words is "eleven billion, one hundred fifty-six million, five hundred sixteen thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1129 1352 2258 4516 7309 9032 14618 14677 29236 29354 58472 58708 95017 117416 190034 190801 380068 381602 760136 763204 1235221 1526408 2470442 4940884 8251861 9881768 16503722 33007444 66014888 107274193 214548386 429096772 858193544 1394564509 2789129018 5578258036 11156516072