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5101516056 = 23371314591601
BaseRepresentation
bin1001100000001001…
…01111010100011000
3111011112101212102010
410300010233110120
540421442003211
62202115105520
7240264112440
oct46004572430
914145355363
105101516056
11218874457a
12ba45a22a0
13633bb3470
14365769120
151ecd0a4a6
hex13012f518

5101516056 has 128 divisors (see below), whose sum is σ = 15717542400. Its totient is φ = 1343692800.

The previous prime is 5101516051. The next prime is 5101516097. The reversal of 5101516056 is 6506151015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101516051) 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 31 ways as a sum of consecutive naturals, for example, 3185656 + ... + 3187256.

It is an arithmetic number, because the mean of its divisors is an integer number (122793300).

Almost surely, 25101516056 is an apocalyptic number.

5101516056 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 5101516056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858771200).

5101516056 is an abundant number, since it is smaller than the sum of its proper divisors (10616026344).

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

5101516056 is a wasteful number, since it uses less digits than its factorization.

5101516056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 5101516056 is about 71424.8980118278. The cubic root of 5101516056 is about 1721.4711651444.

The spelling of 5101516056 in words is "five billion, one hundred one million, five hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1459 1601 2184 2918 3202 4377 4803 5836 6404 8754 9606 10213 11207 11672 12808 17508 18967 19212 20426 20813 22414 30639 33621 35016 37934 38424 40852 41626 44828 56901 61278 62439 67242 75868 81704 83252 89656 113802 122556 124878 132769 134484 145691 151736 166504 227604 245112 249756 265538 268968 291382 398307 437073 455208 499512 531076 582764 796614 874146 1062152 1165528 1593228 1748292 2335859 3186456 3496584 4671718 7007577 9343436 14015154 16351013 18686872 28030308 30366167 32702026 49053039 56060616 60732334 65404052 91098501 98106078 121464668 130808104 182197002 196212156 212563169 242929336 364394004 392424312 425126338 637689507 728788008 850252676 1275379014 1700505352 2550758028 5101516056