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5066430936 = 2337311138609
BaseRepresentation
bin1001011011111101…
…11001100111011000
3111002002101100200020
410231332321213120
540334001242221
62154423110440
7236356644450
oct45576714730
914062340606
105066430936
11216a960606
12b948a2420
1362984aa38
14360c34d60
151e9bc9ac6
hex12dfb99d8

5066430936 has 128 divisors (see below), whose sum is σ = 15076454400. Its totient is φ = 1388298240.

The previous prime is 5066430913. The next prime is 5066430953. The reversal of 5066430936 is 6390346605.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584200 + ... + 592808.

It is an arithmetic number, because the mean of its divisors is an integer number (117784800).

Almost surely, 25066430936 is an apocalyptic number.

5066430936 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 5066430936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538227200).

5066430936 is an abundant number, since it is smaller than the sum of its proper divisors (10010023464).

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

5066430936 is a wasteful number, since it uses less digits than its factorization.

5066430936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 5066430936 is about 71178.8657959650. The cubic root of 5066430936 is about 1717.5156733864.

The spelling of 5066430936 in words is "five billion, sixty-six million, four hundred thirty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 113 124 168 186 217 226 248 339 372 434 452 651 678 744 791 868 904 1302 1356 1582 1736 2373 2604 2712 3164 3503 4746 5208 6328 7006 8609 9492 10509 14012 17218 18984 21018 24521 25827 28024 34436 42036 49042 51654 60263 68872 73563 84072 98084 103308 120526 147126 180789 196168 206616 241052 266879 294252 361578 482104 533758 588504 723156 800637 972817 1067516 1446312 1601274 1868153 1945634 2135032 2918451 3202548 3736306 3891268 5604459 5836902 6405096 6809719 7472612 7782536 11208918 11673804 13619438 14945224 20429157 22417836 23347608 27238876 30157327 40858314 44835672 54477752 60314654 81716628 90471981 120629308 163433256 180943962 211101289 241258616 361887924 422202578 633303867 723775848 844405156 1266607734 1688810312 2533215468 5066430936