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85770038052 = 22331746715707
BaseRepresentation
bin100111111100001001…
…0101110101100100100
322012101110110101012000
41033320102232230210
52401124112204202
6103222513325300
76124314202656
oct1177022565444
9265343411160
1085770038052
1133413a50076
1214758266830
13811b685a0a
1442192066d6
15236ed2e91c
hex13f84aeb24

85770038052 has 48 divisors (see below), whose sum is σ = 235447168320. Its totient is φ = 26908246656.

The previous prime is 85770038033. The next prime is 85770038129. The reversal of 85770038052 is 25083007758.

It is a junction number, because it is equal to n+sod(n) for n = 85770037989 and 85770038007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23356018 + ... + 23359689.

It is an arithmetic number, because the mean of its divisors is an integer number (4905149340).

Almost surely, 285770038052 is an apocalyptic number.

It is an amenable number.

85770038052 is an abundant number, since it is smaller than the sum of its proper divisors (149677130268).

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

85770038052 is a wasteful number, since it uses less digits than its factorization.

85770038052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46715737 (or 46715729 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 85770038052 in words is "eighty-five billion, seven hundred seventy million, thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 46715707 93431414 140147121 186862828 280294242 420441363 560588484 794167019 840882726 1261324089 1588334038 1681765452 2382501057 2522648178 3176668076 4765002114 5045296356 7147503171 9530004228 14295006342 21442509513 28590012684 42885019026 85770038052