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6119117056 = 281313713421
BaseRepresentation
bin1011011001011101…
…00101000100000000
3120210110012100120001
411230232211010000
5100012443221211
62451105525344
7304431431263
oct55456450400
916713170501
106119117056
11266009a238
121229343854
13766973b30
14420978cda
1525c316ac1
hex16cba5100

6119117056 has 72 divisors (see below), whose sum is σ = 13250896344. Its totient is φ = 2803384320.

The previous prime is 6119117051. The next prime is 6119117077. The reversal of 6119117056 is 6507119116.

It can be written as a sum of positive squares in 4 ways, for example, as 1473331456 + 4645785600 = 38384^2 + 68160^2 .

It is not an unprimeable number, because it can be changed into a prime (6119117051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449226 + ... + 462646.

It is an arithmetic number, because the mean of its divisors is an integer number (184040227).

Almost surely, 26119117056 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 6119117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625448172).

6119117056 is an abundant number, since it is smaller than the sum of its proper divisors (7131779288).

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

6119117056 is a wasteful number, since it uses less digits than its factorization.

6119117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13573 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The square root of 6119117056 is about 78224.7854327514. The cubic root of 6119117056 is about 1829.0668853109.

The spelling of 6119117056 in words is "six billion, one hundred nineteen million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 137 208 256 274 416 548 832 1096 1664 1781 2192 3328 3562 4384 7124 8768 13421 14248 17536 26842 28496 35072 53684 56992 107368 113984 174473 214736 227968 348946 429472 455936 697892 858944 1395784 1717888 1838677 2791568 3435776 3677354 5583136 7354708 11166272 14709416 22332544 23902801 29418832 44665088 47805602 58837664 95611204 117675328 191222408 235350656 382444816 470701312 764889632 1529779264 3059558528 6119117056