Search a number
-
+
5556340152 = 2334117110979
BaseRepresentation
bin1010010110010111…
…10000010110111000
3112100020020022210000
411023023300112320
542334410341102
62315203353000
7254456053266
oct51313602670
915306208700
105556340152
1123a1455660
1210b0982760
136a71abb4c
143a9d21436
15227bed01c
hex14b2f05b8

5556340152 has 160 divisors (see below), whose sum is σ = 17218396800. Its totient is φ = 1659873600.

The previous prime is 5556340151. The next prime is 5556340157. The reversal of 5556340152 is 2510436555.

5556340152 is a `hidden beast` number, since 5 + 5 + 5 + 634 + 0 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5556340151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 500599 + ... + 511577.

It is an arithmetic number, because the mean of its divisors is an integer number (107614980).

Almost surely, 25556340152 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 5556340152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609198400).

5556340152 is an abundant number, since it is smaller than the sum of its proper divisors (11662056648).

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

5556340152 is a wasteful number, since it uses less digits than its factorization.

5556340152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11079 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5556340152 is about 74540.8622971320. The cubic root of 5556340152 is about 1771.1809871932.

The spelling of 5556340152 in words is "five billion, five hundred fifty-six million, three hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 81 88 99 108 132 142 162 198 213 216 264 284 297 324 396 426 568 594 639 648 781 792 852 891 1188 1278 1562 1704 1782 1917 2343 2376 2556 3124 3564 3834 4686 5112 5751 6248 7029 7128 7668 9372 10979 11502 14058 15336 18744 21087 21958 23004 28116 32937 42174 43916 46008 56232 63261 65874 84348 87832 98811 120769 126522 131748 168696 197622 241538 253044 263496 296433 362307 395244 483076 506088 592866 724614 779509 790488 889299 966152 1086921 1185732 1449228 1559018 1778598 2173842 2338527 2371464 2898456 3118036 3260763 3557196 4347684 4677054 6236072 6521526 7015581 7114392 8574599 8695368 9354108 9782289 13043052 14031162 17149198 18708216 19564578 21046743 25723797 26086104 28062324 34298396 39129156 42093486 51447594 56124648 63140229 68596792 77171391 78258312 84186972 102895188 126280458 154342782 168373944 205790376 231514173 252560916 308685564 463028346 505121832 617371128 694542519 926056692 1389085038 1852113384 2778170076 5556340152