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6069050676 = 223213109118973
BaseRepresentation
bin1011010011011111…
…00101110100110100
3120122221222201101200
411221233211310310
544412134110201
62442120452500
7303253036203
oct55157456464
916587881350
106069050676
112634903667
12121461a130
13759494460
1441806523a
15257c27386
hex169be5d34

6069050676 has 72 divisors (see below), whose sum is σ = 16673016360. Its totient is φ = 1850252544.

The previous prime is 6069050671. The next prime is 6069050681. The reversal of 6069050676 is 6760509606.

It is an interprime number because it is at equal distance from previous prime (6069050671) and next prime (6069050681).

It can be written as a sum of positive squares in 4 ways, for example, as 110754576 + 5958296100 = 10524^2 + 77190^2 .

It is a super-2 number, since 2×60690506762 = 73666752215712113952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6069050671) 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 23 ways as a sum of consecutive naturals, for example, 8475 + ... + 110498.

Almost surely, 26069050676 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 6069050676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8336508180).

6069050676 is an abundant number, since it is smaller than the sum of its proper divisors (10603965684).

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

6069050676 is a wasteful number, since it uses less digits than its factorization.

6069050676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119105 (or 119100 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6069050676 is about 77904.1120609176. The cubic root of 6069050676 is about 1824.0647664272.

The spelling of 6069050676 in words is "six billion, sixty-nine million, fifty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 218 234 327 436 468 654 981 1308 1417 1962 2834 3924 4251 5668 8502 12753 17004 25506 51012 118973 237946 356919 475892 713838 1070757 1427676 1546649 2141514 3093298 4283028 4639947 6186596 9279894 12968057 13919841 18559788 25936114 27839682 38904171 51872228 55679364 77808342 116712513 155616684 168584741 233425026 337169482 466850052 505754223 674338964 1011508446 1517262669 2023016892 3034525338 6069050676