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5161668736 = 27718113181
BaseRepresentation
bin1001100111010100…
…01101000010000000
3111022201120221101011
410303222031002000
541032341344421
62212104250304
7241624313620
oct46352150200
914281527334
105161668736
11220969a134
121000770994
136434b4a73
1436d746880
1520323d4e1
hex133a8d080

5161668736 has 64 divisors (see below), whose sum is σ = 11762199360. Its totient is φ = 2210227200.

The previous prime is 5161668709. The next prime is 5161668751. The reversal of 5161668736 is 6378661615.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5161668736.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621066 + ... + 1624246.

It is an arithmetic number, because the mean of its divisors is an integer number (183784365).

Almost surely, 25161668736 is an apocalyptic number.

5161668736 is a gapful number since it is divisible by the number (56) 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 5161668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881099680).

5161668736 is an abundant number, since it is smaller than the sum of its proper divisors (6600530624).

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

5161668736 is a wasteful number, since it uses less digits than its factorization.

5161668736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5001 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 5161668736 is about 71844.7544083770. The cubic root of 5161668736 is about 1728.2107796152.

The spelling of 5161668736 in words is "five billion, one hundred sixty-one million, six hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1811 3181 3622 6362 7244 12677 12724 14488 22267 25354 25448 28976 44534 50708 50896 57952 89068 101416 101792 115904 178136 202832 203584 231808 356272 405664 407168 712544 811328 1425088 1622656 2850176 5760791 11521582 23043164 40325537 46086328 80651074 92172656 161302148 184345312 322604296 368690624 645208592 737381248 1290417184 2580834368 5161668736