Search a number
-
+
2194032059352 = 2332746165314461
BaseRepresentation
bin11111111011010110100…
…000000110001111011000
321202202011212101201221200
4133323112200012033120
5241421334201344402
64355531401234200
7314341105540140
oct37732640061730
97682155351850
102194032059352
11776535998931
122b5274a92960
1312bb86330c03
1478298109920
153c11254d21c
hex1fed68063d8

2194032059352 has 192 divisors, whose sum is σ = 6816676426560. Its totient is φ = 624505420800.

The previous prime is 2194032059311. The next prime is 2194032059399. The reversal of 2194032059352 is 2539502304912.

2194032059352 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 0 + 3 + 2 + 0 + 593 + 52 = 666.

It is a super-3 number, since 3×21940320593523 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2194032059298 and 2194032059307.

It is a congruent number.

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, 151713402 + ... + 151727862.

It is an arithmetic number, because the mean of its divisors is an integer number (35503523055).

Almost surely, 22194032059352 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 2194032059352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408338213280).

2194032059352 is an abundant number, since it is smaller than the sum of its proper divisors (4622644367208).

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

2194032059352 is a wasteful number, since it uses less digits than its factorization.

2194032059352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15594 (or 15587 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 2194032059352 in words is "two trillion, one hundred ninety-four billion, thirty-two million, fifty-nine thousand, three hundred fifty-two".