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3019819136 = 27432272417
BaseRepresentation
bin1011001111111110…
…1100100010000000
321210110022201002012
42303333230202000
522141033203021
61215353112052
7134556016265
oct26377544200
97713281065
103019819136
11130a6778a4
127033b8628
13391833539
142090c526c
1512a1ab35b
hexb3fec880

3019819136 has 64 divisors (see below), whose sum is σ = 6185630880. Its totient is φ = 1467691008.

The previous prime is 3019819087. The next prime is 3019819139. The reversal of 3019819136 is 6319189103.

3019819136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×30198191362 = 18238615228303572992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3019819093 and 3019819102.

It is not an unprimeable number, because it can be changed into a prime (3019819139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1248200 + ... + 1250616.

Almost surely, 23019819136 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 3019819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092815440).

3019819136 is an abundant number, since it is smaller than the sum of its proper divisors (3165811744).

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

3019819136 is a wasteful number, since it uses less digits than its factorization.

3019819136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 3019819136 is about 54952.8810527710. The cubic root of 3019819136 is about 1445.4186174748.

The spelling of 3019819136 in words is "three billion, nineteen million, eight hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 227 344 454 688 908 1376 1816 2417 2752 3632 4834 5504 7264 9668 9761 14528 19336 19522 29056 38672 39044 77344 78088 103931 154688 156176 207862 309376 312352 415724 548659 624704 831448 1097318 1249408 1662896 2194636 3325792 4389272 6651584 8778544 13303168 17557088 23592337 35114176 47184674 70228352 94369348 188738696 377477392 754954784 1509909568 3019819136