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331919457057 = 32139265323307
BaseRepresentation
bin1001101010001111111…
…00001111101100100001
31011201202001000110012100
410311013330033230201
520414232340111212
6412252013521013
732660162556036
oct4650774175441
91151661013170
10331919457057
11118847975881
12543b31a3169
13253b8a7a7c6
14120ca47b38d
158979a8abdc
hex4d47f0fb21

331919457057 has 12 divisors (see below), whose sum is σ = 482888420560. Its totient is φ = 219687697368.

The previous prime is 331919457017. The next prime is 331919457059. The reversal of 331919457057 is 750754919133.

331919457057 is a `hidden beast` number, since 3 + 3 + 1 + 9 + 19 + 4 + 570 + 57 = 666.

It is not a de Polignac number, because 331919457057 - 211 = 331919455009 is a prime.

It is a super-3 number, since 3×3319194570573 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331919456994 and 331919457012.

It is not an unprimeable number, because it can be changed into a prime (331919457059) 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, 132660403 + ... + 132662904.

Almost surely, 2331919457057 is an apocalyptic number.

It is an amenable number.

331919457057 is a deficient number, since it is larger than the sum of its proper divisors (150968963503).

331919457057 is a wasteful number, since it uses less digits than its factorization.

331919457057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265323452 (or 265323449 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 331919457057 in words is "three hundred thirty-one billion, nine hundred nineteen million, four hundred fifty-seven thousand, fifty-seven".

Divisors: 1 3 9 139 417 1251 265323307 795969921 2387909763 36879939673 110639819019 331919457057