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2328906852657 = 3271147677115031
BaseRepresentation
bin100001111000111101101…
…010100110100100110001
322020122022112010010211200
4201320331222212210301
5301124100123241112
64541515100201413
7330154324423650
oct41707552464461
98218275103750
102328906852657
11818758227360
12317436239269
1313b7cc136508
1480a10ba3197
15408a8334cdc
hex21e3daa6931

2328906852657 has 192 divisors, whose sum is σ = 4408735039488. Its totient is φ = 1149903216000.

The previous prime is 2328906852641. The next prime is 2328906852661. The reversal of 2328906852657 is 7562586098232.

2328906852657 is a `hidden beast` number, since 23 + 2 + 89 + 0 + 6 + 8 + 526 + 5 + 7 = 666.

2328906852657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2328906852657 - 24 = 2328906852641 is a prime.

It is a super-3 number, since 3×23289068526573 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2328906852594 and 2328906852603.

It is not an unprimeable number, because it can be changed into a prime (2328906852667) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154932732 + ... + 154947762.

It is an arithmetic number, because the mean of its divisors is an integer number (22962161664).

Almost surely, 22328906852657 is an apocalyptic number.

It is an amenable number.

2328906852657 is a deficient number, since it is larger than the sum of its proper divisors (2079828186831).

2328906852657 is a wasteful number, since it uses less digits than its factorization.

2328906852657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15237 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2328906852657 in words is "two trillion, three hundred twenty-eight billion, nine hundred six million, eight hundred fifty-two thousand, six hundred fifty-seven".