Search a number
-
+
5912966142 = 235671131607
BaseRepresentation
bin1011000000111000…
…01011001111111110
3120021002021210200000
411200130023033332
544102204404032
62414423215130
7266346245226
oct54034131776
916232253600
105912966142
112564795a86
1211902a74a6
13733044c45
14401435086
15249194e7c
hex16070b3fe

5912966142 has 96 divisors (see below), whose sum is σ = 13612015872. Its totient is φ = 1923191424.

The previous prime is 5912966141. The next prime is 5912966153. The reversal of 5912966142 is 2416692195.

5912966142 is a `hidden beast` number, since 5 + 9 + 1 + 29 + 6 + 614 + 2 = 666.

It is a super-3 number, since 3×59129661423 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5912966141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3678703 + ... + 3680309.

It is an arithmetic number, because the mean of its divisors is an integer number (141791832).

Almost surely, 25912966142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5912966142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806007936).

5912966142 is an abundant number, since it is smaller than the sum of its proper divisors (7699049730).

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

5912966142 is a wasteful number, since it uses less digits than its factorization.

5912966142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1792 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 5912966142 is about 76895.8135531448. The cubic root of 5912966142 is about 1808.2915965893.

The spelling of 5912966142 in words is "five billion, nine hundred twelve million, nine hundred sixty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 81 113 134 162 201 226 243 339 402 486 603 678 1017 1206 1607 1809 2034 3051 3214 3618 4821 5427 6102 7571 9153 9642 10854 14463 15142 16281 18306 22713 27459 28926 32562 43389 45426 54918 68139 86778 107669 130167 136278 181591 204417 215338 260334 323007 363182 390501 408834 544773 613251 646014 781002 969021 1089546 1226502 1634319 1839753 1938042 2907063 3268638 3679506 4902957 5814126 8721189 9805914 12166597 14708871 17442378 24333194 26163567 29417742 36499791 44126613 52327134 72999582 88253226 109499373 218998746 328498119 656996238 985494357 1970988714 2956483071 5912966142