Search a number
-
+
613210025376 = 2532131033115113
BaseRepresentation
bin10001110110001100010…
…10100110110110100000
32011121210122211212121100
420323012022212312200
540021323231303001
61145412122554400
762205626133354
oct10730612466640
92147718755540
10613210025376
11217074089143
129aa16968a00
1345a966b6780
1421972881464
1510e3e959586
hex8ec62a6da0

613210025376 has 288 divisors, whose sum is σ = 1902657399552. Its totient is φ = 186210938880.

The previous prime is 613210025369. The next prime is 613210025401. The reversal of 613210025376 is 673520012316.

613210025376 is a `hidden beast` number, since 6 + 13 + 2 + 100 + 2 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 613210025376.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119928996 + ... + 119934108.

It is an arithmetic number, because the mean of its divisors is an integer number (6606449304).

Almost surely, 2613210025376 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 613210025376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951328699776).

613210025376 is an abundant number, since it is smaller than the sum of its proper divisors (1289447374176).

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

613210025376 is a wasteful number, since it uses less digits than its factorization.

613210025376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 613210025376 in words is "six hundred thirteen billion, two hundred ten million, twenty-five thousand, three hundred seventy-six".