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11061550016 = 2611471811847
BaseRepresentation
bin10100100110101000…
…11101101111000000
31001112220020221222122
422103110131233000
5140123224100031
65025343223412
7541054423646
oct122324355700
931486227878
1011061550016
114766a58280
1221885a7b68
1310738c7c8a
1476d133196
1544b19b47b
hex29351dbc0

11061550016 has 112 divisors (see below), whose sum is σ = 24603651072. Its totient is φ = 4891161600.

The previous prime is 11061549991. The next prime is 11061550037. The reversal of 11061550016 is 61005516011.

It is a congruent number.

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, 5988005 + ... + 5989851.

It is an arithmetic number, because the mean of its divisors is an integer number (219675456).

Almost surely, 211061550016 is an apocalyptic number.

11061550016 is a gapful number since it is divisible by the number (16) 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 11061550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301825536).

11061550016 is an abundant number, since it is smaller than the sum of its proper divisors (13542101056).

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

11061550016 is a wasteful number, since it uses less digits than its factorization.

11061550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 11061550016 in words is "eleven billion, sixty-one million, five hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 181 188 352 362 376 517 704 724 752 1034 1448 1504 1847 1991 2068 2896 3008 3694 3982 4136 5792 7388 7964 8272 8507 11584 14776 15928 16544 17014 20317 29552 31856 33088 34028 40634 59104 63712 68056 81268 86809 93577 118208 127424 136112 162536 173618 187154 272224 325072 334307 347236 374308 544448 650144 668614 694472 748616 954899 1300288 1337228 1388944 1497232 1909798 2674456 2777888 2994464 3677377 3819596 5348912 5555776 5988928 7354754 7639192 10697824 14709508 15278384 15712429 21395648 29419016 30556768 31424858 58838032 61113536 62849716 117676064 125699432 172836719 235352128 251398864 345673438 502797728 691346876 1005595456 1382693752 2765387504 5530775008 11061550016