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11025516072 = 2332328171081
BaseRepresentation
bin10100100010010110…
…00000011000101000
31001110101110020201010
422101023000120220
5140040013003242
65022015023520
7540136224504
oct122113003050
931411406633
1011025516072
11474868645a
12217850aba0
1310692bc70c
14768433304
15447e2e89c
hex2912c0628

11025516072 has 64 divisors (see below), whose sum is σ = 28864978560. Its totient is φ = 3502822400.

The previous prime is 11025516043. The next prime is 11025516097. The reversal of 11025516072 is 27061552011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119572 + ... + 190652.

It is an arithmetic number, because the mean of its divisors is an integer number (451015290).

Almost surely, 211025516072 is an apocalyptic number.

11025516072 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 11025516072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432489280).

11025516072 is an abundant number, since it is smaller than the sum of its proper divisors (17839462488).

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

11025516072 is a wasteful number, since it uses less digits than its factorization.

11025516072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71394 (or 71390 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 11025516072 in words is "eleven billion, twenty-five million, five hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 281 552 562 843 1124 1686 2248 3372 6463 6744 12926 19389 25852 38778 51704 71081 77556 142162 155112 213243 284324 426486 568648 852972 1634863 1705944 3269726 4904589 6539452 9809178 13078904 19618356 19973761 39236712 39947522 59921283 79895044 119842566 159790088 239685132 459396503 479370264 918793006 1378189509 1837586012 2756379018 3675172024 5512758036 11025516072