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2313508677120 = 293752914249
BaseRepresentation
bin100001101010100111110…
…111001110011000000000
322012011120101201210000000
4201222213313032120000
5300401031210131440
64530451120000000
7326100621201624
oct41524767163000
98164511653000
102313508677120
11812176376153
12314459460000
1313a216c67444
147dd8db31184
15402a65bc730
hex21aa7dce600

2313508677120 has 640 divisors, whose sum is σ = 8606703600000. Its totient is φ = 595620200448.

The previous prime is 2313508677113. The next prime is 2313508677163. The reversal of 2313508677120 is 217768053132.

2313508677120 is a `hidden beast` number, since 2 + 3 + 13 + 508 + 6 + 7 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×23135086771202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162355756 + ... + 162370004.

It is an arithmetic number, because the mean of its divisors is an integer number (13447974375).

Almost surely, 22313508677120 is an apocalyptic number.

2313508677120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313508677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303351800000).

2313508677120 is an abundant number, since it is smaller than the sum of its proper divisors (6293194922880).

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

2313508677120 is an frugal number, since it uses more digits than its factorization.

2313508677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322 (or 14288 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2313508677120 in words is "two trillion, three hundred thirteen billion, five hundred eight million, six hundred seventy-seven thousand, one hundred twenty".