Search a number
-
+
2573237882964 = 22372173171116959
BaseRepresentation
bin100101011100100000111…
…011100001000001010100
3100002222222101001111111110
4211130200323201001110
5314124442344223324
65250043522135020
7353624143054200
oct45344073410124
910088871044443
102573237882964
11902338778791
123568641b1470
131588698a0368
148c78c735b00
1546e08604329
hex25720ee1054

2573237882964 has 288 divisors, whose sum is σ = 7741501931520. Its totient is φ = 660204518400.

The previous prime is 2573237882951. The next prime is 2573237882993. The reversal of 2573237882964 is 4692887323752.

It is a super-2 number, since 2×25732378829642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2573237882895 and 2573237882904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21942717 + ... + 22059675.

It is an arithmetic number, because the mean of its divisors is an integer number (26880215040).

Almost surely, 22573237882964 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 2573237882964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870750965760).

2573237882964 is an abundant number, since it is smaller than the sum of its proper divisors (5168264048556).

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

2573237882964 is a wasteful number, since it uses less digits than its factorization.

2573237882964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117099 (or 117090 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 66.

The spelling of 2573237882964 in words is "two trillion, five hundred seventy-three billion, two hundred thirty-seven million, eight hundred eighty-two thousand, nine hundred sixty-four".