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5214416732 = 22721713711423
BaseRepresentation
bin1001101101100110…
…11010111101011100
3111110101211211000122
410312303122331130
541134342313412
62221231014112
7243134545100
oct46663327534
914411754018
105214416732
112236447518
12101636a338
136513c2bb5
14376757900
15207bac572
hex136cdaf5c

5214416732 has 72 divisors (see below), whose sum is σ = 11322509184. Its totient is φ = 2087758848.

The previous prime is 5214416731. The next prime is 5214416741. The reversal of 5214416732 is 2376144125.

It is a junction number, because it is equal to n+sod(n) for n = 5214416692 and 5214416701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214416731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450773 + ... + 462195.

It is an arithmetic number, because the mean of its divisors is an integer number (157257072).

Almost surely, 25214416732 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 5214416732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661254592).

5214416732 is an abundant number, since it is smaller than the sum of its proper divisors (6108092452).

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

5214416732 is a wasteful number, since it uses less digits than its factorization.

5214416732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11595 (or 11586 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 5214416732 is about 72210.9183711162. The cubic root of 5214416732 is about 1734.0778021796.

The spelling of 5214416732 in words is "five billion, two hundred fourteen million, four hundred sixteen thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 137 196 238 274 476 548 833 959 1666 1918 2329 3332 3836 4658 6713 9316 11423 13426 16303 22846 26852 32606 45692 65212 79961 114121 159922 194191 228242 319844 388382 456484 559727 776764 1119454 1359337 1564951 2238908 2718674 3129902 5437348 6259804 9515359 10954657 19030718 21909314 26604167 38061436 43818628 53208334 76682599 106416668 153365198 186229169 306730396 372458338 744916676 1303604183 2607208366 5214416732