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5349562640 = 245237339827
BaseRepresentation
bin1001111101101101…
…11101100100010000
3111210211010221100122
410332312331210100
541423442001030
62242455405412
7246365350352
oct47666754420
914724127318
105349562640
1122a5763654
121053683868
136733c09a6
1438a6970d2
152149a58e5
hex13edbd910

5349562640 has 80 divisors (see below), whose sum is σ = 13156622208. Its totient is φ = 2018700288.

The previous prime is 5349562637. The next prime is 5349562717. The reversal of 5349562640 is 462659435.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5349562591 and 5349562600.

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, 114407 + ... + 154233.

Almost surely, 25349562640 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 5349562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578311104).

5349562640 is an abundant number, since it is smaller than the sum of its proper divisors (7807059568).

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

5349562640 is a wasteful number, since it uses less digits than its factorization.

5349562640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39936 (or 39930 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The square root of 5349562640 is about 73140.7043991237. The cubic root of 5349562640 is about 1748.9313355637.

The spelling of 5349562640 in words is "five billion, three hundred forty-nine million, five hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 73 80 92 115 146 184 230 292 365 368 460 584 730 920 1168 1460 1679 1840 2920 3358 5840 6716 8395 13432 16790 26864 33580 39827 67160 79654 134320 159308 199135 318616 398270 637232 796540 916021 1593080 1832042 2907371 3186160 3664084 4580105 5814742 7328168 9160210 11629484 14536855 14656336 18320420 23258968 29073710 36640840 46517936 58147420 66869533 73281680 116294840 133739066 232589680 267478132 334347665 534956264 668695330 1069912528 1337390660 2674781320 5349562640