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3785770014 = 231324122221
BaseRepresentation
bin1110000110100110…
…0100010000011110
3100202211121001011020
43201221210100132
530223124120024
61423354105010
7162546341235
oct34151442036
910684531136
103785770014
111672a72054
12897a1b166
13484424400
1427cb09b1c
15172559979
hexe1a6441e

3785770014 has 72 divisors (see below), whose sum is σ = 8407399176. Its totient is φ = 1135929600.

The previous prime is 3785769989. The next prime is 3785770057. The reversal of 3785770014 is 4100775873.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1703424 + ... + 1705644.

It is an arithmetic number, because the mean of its divisors is an integer number (116769433).

Almost surely, 23785770014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785770014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203699588).

3785770014 is an abundant number, since it is smaller than the sum of its proper divisors (4621629162).

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

3785770014 is a wasteful number, since it uses less digits than its factorization.

3785770014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 3785770014 is about 61528.6113446419. The cubic root of 3785770014 is about 1558.5404403954.

The spelling of 3785770014 in words is "three billion, seven hundred eighty-five million, seven hundred seventy thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1599 1681 2221 3198 3362 4442 5043 6663 6929 10086 13326 13858 20787 21853 28873 41574 43706 57746 65559 86619 91061 131118 173238 182122 273183 284089 375349 546366 568178 750698 852267 1126047 1183793 1704534 2252094 2367586 3551379 3733501 7102758 7467002 11200503 15389309 22401006 30778618 46167927 48535513 92335854 97071026 145606539 291213078 630961669 1261923338 1892885007 3785770014