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5016126336 = 273139111103
BaseRepresentation
bin1001010101111110…
…00000001110000000
3110221120201121201220
410222333000032000
540233112020321
62145424555040
7235206241014
oct45277001600
913846647656
105016126336
112144521a61
12b7ba82a80
1361c2b6ac0
1435829c544
151e558e9c6
hex12afc0380

5016126336 has 128 divisors (see below), whose sum is σ = 14377789440. Its totient is φ = 1540331520.

The previous prime is 5016126139. The next prime is 5016126347. The reversal of 5016126336 is 6336216105.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5016126297 and 5016126306.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4547161 + ... + 4548263.

It is an arithmetic number, because the mean of its divisors is an integer number (112326480).

Almost surely, 25016126336 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 5016126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188894720).

5016126336 is an abundant number, since it is smaller than the sum of its proper divisors (9361663104).

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

5016126336 is a wasteful number, since it uses less digits than its factorization.

5016126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 5016126336 is about 70824.6167374028. The cubic root of 5016126336 is about 1711.8123502366.

The spelling of 5016126336 in words is "five billion, sixteen million, one hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 911 1103 1248 1664 1822 2206 2496 2733 3309 3644 4412 4992 5466 6618 7288 8824 10932 11843 13236 14339 14576 17648 21864 23686 26472 28678 29152 35296 35529 43017 43728 47372 52944 57356 58304 70592 71058 86034 87456 94744 105888 114712 116608 141184 142116 172068 174912 189488 211776 229424 284232 344136 349824 378976 423552 458848 568464 688272 757952 917696 1004833 1136928 1376544 1515904 1835392 2009666 2273856 2753088 3014499 4019332 4547712 5506176 6028998 8038664 12057996 13062829 16077328 24115992 26125658 32154656 39188487 48231984 52251316 64309312 78376974 96463968 104502632 128618624 156753948 192927936 209005264 313507896 385855872 418010528 627015792 836021056 1254031584 1672042112 2508063168 5016126336