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257201678331 = 32132198304943
BaseRepresentation
bin1110111110001001101…
…0100010011111111011
3220120212211100000120100
43233202122202133323
513203222112201311
6314053512330443
724403461123333
oct3574232423773
9816784300510
10257201678331
119a095707824
1241a203a3a23
131b33c0b9010
14c63d06a0c3
156a551bea56
hex3be26a27fb

257201678331 has 12 divisors (see below), whose sum is σ = 400091499808. Its totient is φ = 158277955824.

The previous prime is 257201678309. The next prime is 257201678333. The reversal of 257201678331 is 133876102752.

257201678331 is a `hidden beast` number, since 2 + 57 + 201 + 67 + 8 + 331 = 666.

It is not a de Polignac number, because 257201678331 - 29 = 257201677819 is a prime.

It is a super-2 number, since 2×2572016783312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257201678333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099152355 + ... + 1099152588.

Almost surely, 2257201678331 is an apocalyptic number.

257201678331 is a deficient number, since it is larger than the sum of its proper divisors (142889821477).

257201678331 is a wasteful number, since it uses less digits than its factorization.

257201678331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198304962 (or 2198304959 counting only the distinct ones).

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

The spelling of 257201678331 in words is "two hundred fifty-seven billion, two hundred one million, six hundred seventy-eight thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 117 2198304943 6594914829 19784744487 28577964259 85733892777 257201678331