Search a number
-
+
426523351046652 = 22361937613410909
BaseRepresentation
bin110000011111010111011010…
…0110100111101100111111100
32001221012020022200120222000000
41200332232310310331213330
5421401124310331443102
64111050042241234300
7155561203152661236
oct14076566464754774
92057166280528000
10426523351046652
111139a35a0252542
123ba070bb332990
13153cbc96a2cbc2
147747ba9c67256
153449cb7ad401c
hex183ebb4d3d9fc

426523351046652 has 336 divisors, whose sum is σ = 1229684627959200. Its totient is φ = 128902852154880.

The previous prime is 426523351046623. The next prime is 426523351046659. The reversal of 426523351046652 is 256640153325624.

426523351046652 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 2 + 33 + 510 + 46 + 6 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426523351046659) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 123341374 + ... + 126752282.

It is an arithmetic number, because the mean of its divisors is an integer number (3659775678450).

Almost surely, 2426523351046652 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 426523351046652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614842313979600).

426523351046652 is an abundant number, since it is smaller than the sum of its proper divisors (803161276912548).

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

426523351046652 is a wasteful number, since it uses less digits than its factorization.

426523351046652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411048 (or 3411031 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 426523351046652 in words is "four hundred twenty-six trillion, five hundred twenty-three billion, three hundred fifty-one million, forty-six thousand, six hundred fifty-two".