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5015362416 = 2436113912323
BaseRepresentation
bin1001010101111000…
…00101101101110000
3110221112021210211120
410222330011231300
540232413044131
62145400342240
7235166606601
oct45274055560
913845253746
105015362416
112144050019
12b7b774980
1361c0aa18c
1435813dda8
151e548d496
hex12af05b70

5015362416 has 80 divisors (see below), whose sum is σ = 13264567680. Its totient is φ = 1632418560.

The previous prime is 5015362409. The next prime is 5015362427. The reversal of 5015362416 is 6142635105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400831 + ... + 413153.

It is an arithmetic number, because the mean of its divisors is an integer number (165807096).

Almost surely, 25015362416 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 5015362416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632283840).

5015362416 is an abundant number, since it is smaller than the sum of its proper divisors (8249205264).

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

5015362416 is a wasteful number, since it uses less digits than its factorization.

5015362416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5015362416 is about 70819.2234919305. The cubic root of 5015362416 is about 1711.7254469177.

The spelling of 5015362416 in words is "five billion, fifteen million, three hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 139 183 244 278 366 417 488 556 732 834 976 1112 1464 1668 2224 2928 3336 6672 8479 12323 16958 24646 25437 33916 36969 49292 50874 67832 73938 98584 101748 135664 147876 197168 203496 295752 406992 591504 751703 1503406 1712897 2255109 3006812 3425794 4510218 5138691 6013624 6851588 9020436 10277382 12027248 13703176 18040872 20554764 27406352 36081744 41109528 82219056 104486717 208973434 313460151 417946868 626920302 835893736 1253840604 1671787472 2507681208 5015362416