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316106465445 = 32537189853733
BaseRepresentation
bin1001001100110010110…
…10011110000010100101
31010012221000002020200100
410212121122132002211
520134341223343240
6401114534334313
731560261423501
oct4463132360245
91105830066610
10316106465445
1111207294a171
125131b4ba399
1323a68980434
141142a2a9301
1583516d4e30
hex499969e0a5

316106465445 has 24 divisors (see below), whose sum is σ = 562726467576. Its totient is φ = 164033624448.

The previous prime is 316106465413. The next prime is 316106465459. The reversal of 316106465445 is 544564601613.

316106465445 is a `hidden beast` number, since 3 + 1 + 61 + 0 + 6 + 46 + 544 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 203619342564 + 112487122881 = 451242^2 + 335391^2 .

It is not a de Polignac number, because 316106465445 - 25 = 316106465413 is a prime.

It is a super-3 number, since 3×3161064654453 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 316106465445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94925202 + ... + 94928531.

It is an arithmetic number, because the mean of its divisors is an integer number (23446936149).

Almost surely, 2316106465445 is an apocalyptic number.

It is an amenable number.

316106465445 is a deficient number, since it is larger than the sum of its proper divisors (246620002131).

316106465445 is a wasteful number, since it uses less digits than its factorization.

316106465445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189853781 (or 189853778 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 316106465445 in words is "three hundred sixteen billion, one hundred six million, four hundred sixty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 189853733 569561199 949268665 1708683597 2847805995 7024588121 8543417985 21073764363 35122940605 63221293089 105368821815 316106465445