Search a number
-
+
39780428364 = 223219449129529
BaseRepresentation
bin100101000011000110…
…010010101001001100
310210200100220010211200
4211003012102221030
51122432242201424
630135212345500
72605540030155
oct450306225114
9123610803750
1039780428364
1115964018686
127862475290
13399c734b11
141cd537292c
15107c5b38c9
hex943192a4c

39780428364 has 72 divisors (see below), whose sum is σ = 106085070000. Its totient is φ = 12534165504.

The previous prime is 39780428339. The next prime is 39780428377. The reversal of 39780428364 is 46382408793.

39780428364 is a `hidden beast` number, since 397 + 80 + 42 + 83 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 39780428364.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242352 + ... + 371880.

It is an arithmetic number, because the mean of its divisors is an integer number (1473403750).

Almost surely, 239780428364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39780428364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53042535000).

39780428364 is an abundant number, since it is smaller than the sum of its proper divisors (66304641636).

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

39780428364 is a wasteful number, since it uses less digits than its factorization.

39780428364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130007 (or 130002 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 39780428364 in words is "thirty-nine billion, seven hundred eighty million, four hundred twenty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 449 684 898 1347 1796 2694 4041 5388 8082 8531 16164 17062 25593 34124 51186 76779 102372 129529 153558 259058 307116 388587 518116 777174 1165761 1554348 2331522 2461051 4663044 4922102 7383153 9844204 14766306 22149459 29532612 44298918 58158521 88597836 116317042 174475563 232634084 348951126 523426689 697902252 1046853378 1105011899 2093706756 2210023798 3315035697 4420047596 6630071394 9945107091 13260142788 19890214182 39780428364