Search a number
-
+
2059663788 = 223471369857
BaseRepresentation
bin111101011000011…
…1111100110101100
312022112121202120000
41322300333212230
513204233220123
6540213424300
7102016565460
oct17260774654
95275552500
102059663788
11967698986
1249593b090
1326a937290
1415778a4a0
15c0c4ab43
hex7ac3f9ac

2059663788 has 120 divisors (see below), whose sum is σ = 6627009312. Its totient is φ = 543200256.

The previous prime is 2059663733. The next prime is 2059663799. The reversal of 2059663788 is 8873669502.

It is a happy number.

2059663788 is a `hidden beast` number, since 205 + 9 + 66 + 378 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 5445 + ... + 64412.

Almost surely, 22059663788 is an apocalyptic number.

2059663788 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059663788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313504656).

2059663788 is an abundant number, since it is smaller than the sum of its proper divisors (4567345524).

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

2059663788 is a wasteful number, since it uses less digits than its factorization.

2059663788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69893 (or 69882 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2059663788 is about 45383.5189027911. The cubic root of 2059663788 is about 1272.3271008185.

The spelling of 2059663788 in words is "two billion, fifty-nine million, six hundred sixty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 69857 139714 209571 279428 419142 488999 628713 838284 908141 977998 1257426 1466997 1816282 1886139 1955996 2514852 2724423 2933994 3632564 3772278 4400991 5448846 5658417 5867988 6356987 7544556 8173269 8801982 10897692 11316834 12713974 13202973 16346538 17603964 19070961 22633668 24519807 25427948 26405946 32693076 38141922 39608919 49039614 52811892 57212883 73559421 76283844 79217838 98079228 114425766 147118842 158435676 171638649 228851532 294237684 343277298 514915947 686554596 1029831894 2059663788