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45936000208 = 247294761871
BaseRepresentation
bin101010110001111111…
…111011110011010000
311101120100200120222001
4222301333323303100
51223034104001313
633034103523344
73214223362600
oct526177736320
9141510616861
1045936000208
111853274693a
128a9ba59554
134440b00917
14231aabac00
1512dcbcbadd
hexab1ffbcd0

45936000208 has 60 divisors (see below), whose sum is σ = 103642777152. Its totient is φ = 19665750720.

The previous prime is 45936000197. The next prime is 45936000247. The reversal of 45936000208 is 80200063954.

It is a super-2 number, since 2×459360002082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 711513 + ... + 773383.

Almost surely, 245936000208 is an apocalyptic number.

45936000208 is the 123742-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45936000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51821388576).

45936000208 is an abundant number, since it is smaller than the sum of its proper divisors (57706776944).

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

45936000208 is a wasteful number, since it uses less digits than its factorization.

45936000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62840 (or 62827 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 45936000208 in words is "forty-five billion, nine hundred thirty-six million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 947 1894 3788 6629 7576 13258 15152 26516 46403 53032 61871 92806 106064 123742 185612 247484 371224 433097 494968 742448 866194 989936 1732388 3031679 3464776 6063358 6929552 12126716 24253432 48506864 58591837 117183674 234367348 410142859 468734696 820285718 937469392 1640571436 2871000013 3281142872 5742000026 6562285744 11484000052 22968000104 45936000208