Search a number
-
+
2690876376576 = 29324123111117
BaseRepresentation
bin100111001010000100101…
…110110000011000000000
3100112020121210122011020100
4213022010232300120000
5323041403323022301
65420101015242400
7365260265545263
oct47120456603000
910466553564210
102690876376576
11948215622133
12375615079400
13166996758a6b
149434c19ccda
1549ee10d9286
hex27284bb0600

2690876376576 has 360 divisors, whose sum is σ = 7992831564432. Its totient is φ = 871487078400.

The previous prime is 2690876376491. The next prime is 2690876376583. The reversal of 2690876376576 is 6756736780962.

2690876376576 is a `hidden beast` number, since 26 + 90 + 87 + 6 + 376 + 5 + 76 = 666.

It is a super-2 number, since 2×26908763765762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2409020370 + ... + 2409021486.

Almost surely, 22690876376576 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 2690876376576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996415782216).

2690876376576 is an abundant number, since it is smaller than the sum of its proper divisors (5301955187856).

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

2690876376576 is a wasteful number, since it uses less digits than its factorization.

2690876376576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 2690876376576 in words is "two trillion, six hundred ninety billion, eight hundred seventy-six million, three hundred seventy-six thousand, five hundred seventy-six".