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1149386616 = 233279532393
BaseRepresentation
bin100010010000010…
…0011111101111000
32222002202220000200
41010200203331320
54323220332431
6310015202200
740324424250
oct10440437570
92862686020
101149386616
1153a8871a4
12280b16360
13154182b31
14ac916960
156ad8dee6
hex44823f78

1149386616 has 96 divisors (see below), whose sum is σ = 3562846560. Its totient is φ = 327914496.

The previous prime is 1149386593. The next prime is 1149386639. The reversal of 1149386616 is 6166839411.

It is an interprime number because it is at equal distance from previous prime (1149386593) and next prime (1149386639).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 479116 + ... + 481508.

It is an arithmetic number, because the mean of its divisors is an integer number (37112985).

Almost surely, 21149386616 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 1149386616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781423280).

1149386616 is an abundant number, since it is smaller than the sum of its proper divisors (2413459944).

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

1149386616 is a wasteful number, since it uses less digits than its factorization.

1149386616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3358 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1149386616 is about 33902.6048556744. The cubic root of 1149386616 is about 1047.5032487373.

The spelling of 1149386616 in words is "one billion, one hundred forty-nine million, three hundred eighty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 953 1906 2393 2859 3812 4786 5718 6671 7179 7624 8577 9572 11436 13342 14358 16751 17154 19144 20013 21537 22872 26684 28716 33502 34308 40026 43074 50253 53368 57432 60039 67004 68616 80052 86148 100506 120078 134008 150759 160104 172296 201012 240156 301518 402024 480312 603036 1206072 2280529 4561058 6841587 9122116 13683174 15963703 18244232 20524761 27366348 31927406 41049522 47891109 54732696 63854812 82099044 95782218 127709624 143673327 164198088 191564436 287346654 383128872 574693308 1149386616