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83051144550045 = 32571913876548797
BaseRepresentation
bin10010111000100011011001…
…111110000001011010011101
3101220001121112001121122012100
4102320203121332001122131
541341202221001100140
6452345100305155313
723331150532641660
oct2270433176013235
9356047461548170
1083051144550045
112450a879a612a1
129393a5032bb39
1337458c65b0389
1416719a81d56d7
1599053e258530
hex4b88d9f8169d

83051144550045 has 48 divisors (see below), whose sum is σ = 173179328999040. Its totient is φ = 35968014479232.

The previous prime is 83051144550043. The next prime is 83051144550053. The reversal of 83051144550045 is 54005544115038.

83051144550045 is a `hidden beast` number, since 8 + 3 + 0 + 5 + 11 + 44 + 550 + 0 + 45 = 666.

It is not a de Polignac number, because 83051144550045 - 21 = 83051144550043 is a prime.

It is a super-2 number, since 2×830511445500452 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83051144550043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6938268414 + ... + 6938280383.

It is an arithmetic number, because the mean of its divisors is an integer number (3607902687480).

Almost surely, 283051144550045 is an apocalyptic number.

It is an amenable number.

83051144550045 is an abundant number, since it is smaller than the sum of its proper divisors (90128184448995).

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

83051144550045 is a wasteful number, since it uses less digits than its factorization.

83051144550045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13876548834 (or 13876548831 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 83051144550045 in words is "eighty-three trillion, fifty-one billion, one hundred forty-four million, five hundred fifty thousand, forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 13876548797 41629646391 69382743985 97135841579 124888939173 208148231955 263654427143 291407524737 485679207895 624444695865 790963281429 874222574211 1318272135715 1457037623685 1845580990001 2372889844287 3954816407145 4371112871055 5536742970003 9227904950005 11864449221435 16610228910009 27683714850015 83051144550045