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3133346055876 = 223223210121272
BaseRepresentation
bin101101100110001001111…
…110101000011011000100
3102002112201021101202211100
4231212021332220123010
5402314043042242001
610355234520140100
7442243144013301
oct55461176503304
912075637352740
103133346055876
11aa8932187143
1242731b307630
1319961c9c0b4a
14ab92492a0a8
155678b206586
hex2d989fa86c4

3133346055876 has 243 divisors, whose sum is σ = 8428894716333. Its totient is φ = 981357854400.

The previous prime is 3133346055857. The next prime is 3133346055877. The reversal of 3133346055876 is 6785506433313.

The square root of 3133346055876 is 1770126.

It is a perfect power (a square), and thus also a powerful number.

3133346055876 is a `hidden beast` number, since 3 + 13 + 3 + 3 + 4 + 6 + 0 + 558 + 76 = 666.

3133346055876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3010481785476 + 122864270400 = 1735074^2 + 350520^2 .

It is a super-3 number, since 3×31333460558763 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3133346055877) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24672016125 + ... + 24672016251.

Almost surely, 23133346055876 is an apocalyptic number.

3133346055876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3133346055876 is the 1770126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133346055876

3133346055876 is an abundant number, since it is smaller than the sum of its proper divisors (5295548660457).

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

3133346055876 is a wasteful number, since it uses less digits than its factorization.

3133346055876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 3133346055876 in words is "three trillion, one hundred thirty-three billion, three hundred forty-six million, fifty-five thousand, eight hundred seventy-six".