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83053832085 = 3357230740897
BaseRepresentation
bin100110101011001100…
…1001110011110010101
321221101011102211002000
41031112121032132111
52330043240111320
6102053203505513
76000102632100
oct1152631163625
9257334384060
1083053832085
113224a7a5354
121411a688299
137aa7a16a53
14403c595737
152261647c90
hex135664e795

83053832085 has 96 divisors (see below), whose sum is σ = 172321269120. Its totient is φ = 37842868224.

The previous prime is 83053832051. The next prime is 83053832119. The reversal of 83053832085 is 58023835038.

83053832085 is a `hidden beast` number, since 8 + 3 + 0 + 538 + 32 + 0 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (83053832051) and next prime (83053832119).

It is not a de Polignac number, because 83053832085 - 28 = 83053831829 is a prime.

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 83053832085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010357 + ... + 2051253.

It is an arithmetic number, because the mean of its divisors is an integer number (1795013220).

Almost surely, 283053832085 is an apocalyptic number.

It is an amenable number.

83053832085 is an abundant number, since it is smaller than the sum of its proper divisors (89267437035).

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

83053832085 is a wasteful number, since it uses less digits than its factorization.

83053832085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41232 (or 41219 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 83053832085 in words is "eighty-three billion, fifty-three million, eight hundred thirty-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 307 315 441 735 921 945 1323 1535 2149 2205 2763 4605 6447 6615 8289 10745 13815 15043 19341 32235 40897 41445 45129 58023 75215 96705 122691 135387 204485 225645 286279 290115 368073 406161 613455 676935 858837 1104219 1431395 1840365 2003953 2030805 2576511 4294185 5521095 6011859 7729533 10019765 12555379 12882555 18035577 30059295 37666137 38647665 54106731 62776895 87887653 90177885 112998411 188330685 263662959 270533655 338995233 439438265 564992055 615213571 790988877 1318314795 1694976165 1845640713 2372966631 3076067855 3954944385 5536922139 9228203565 11864833155 16610766417 27684610695 83053832085