Search a number
-
+
48269288340 = 22345713192907
BaseRepresentation
bin101100111101000100…
…101110001110010100
311121120222011220120000
4230331010232032110
51242323414211330
634101414211300
73326105116110
oct547504561624
9147528156500
1048269288340
111951a833839
129431353b30
13472332c5a0
14249c932740
1513c7976560
hexb3d12e394

48269288340 has 720 divisors, whose sum is σ = 196908066432. Its totient is φ = 9637636608.

The previous prime is 48269288339. The next prime is 48269288363. The reversal of 48269288340 is 4388296284.

48269288340 is a `hidden beast` number, since 482 + 69 + 28 + 83 + 4 + 0 = 666.

48269288340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53218167 + ... + 53219073.

Almost surely, 248269288340 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 48269288340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98454033216).

48269288340 is an abundant number, since it is smaller than the sum of its proper divisors (148638778092).

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

48269288340 is a wasteful number, since it uses less digits than its factorization.

48269288340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 48269288340 in words is "forty-eight billion, two hundred sixty-nine million, two hundred eighty-eight thousand, three hundred forty".