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45316807668 = 22331138145461
BaseRepresentation
bin101010001101000101…
…111001101111110100
311022222012120100111000
4222031011321233310
51220302100321133
632452424243300
73162664336536
oct521505715764
9138865510430
1045316807668
111824517a370
128948610530
1343727452c2
14229c779856
1512a366c413
hexa8d179bf4

45316807668 has 48 divisors (see below), whose sum is σ = 128168752320. Its totient is φ = 13732365600.

The previous prime is 45316807649. The next prime is 45316807691. The reversal of 45316807668 is 86670861354.

45316807668 is a `hidden beast` number, since 453 + 1 + 68 + 0 + 76 + 68 = 666.

It is a super-2 number, since 2×453168076682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19071543 + ... + 19073918.

It is an arithmetic number, because the mean of its divisors is an integer number (2670182340).

Almost surely, 245316807668 is an apocalyptic number.

It is an amenable number.

45316807668 is an abundant number, since it is smaller than the sum of its proper divisors (82851944652).

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

45316807668 is a wasteful number, since it uses less digits than its factorization.

45316807668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38145485 (or 38145477 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45316807668 in words is "forty-five billion, three hundred sixteen million, eight hundred seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 38145461 76290922 114436383 152581844 228872766 343309149 419600071 457745532 686618298 839200142 1029927447 1258800213 1373236596 1678400284 2059854894 2517600426 3776400639 4119709788 5035200852 7552801278 11329201917 15105602556 22658403834 45316807668