Search a number
-
+
5556662430 = 2351129671583
BaseRepresentation
bin1010010110011001…
…11111000010011110
3112100020211200212020
411023030333002132
542340001144210
62315214321010
7254461565004
oct51314770236
915306750766
105556662430
1123a1655800
1210b0ab9166
136a7292747
143a9da6a74
15227c63770
hex14b33f09e

5556662430 has 96 divisors (see below), whose sum is σ = 14682995712. Its totient is φ = 1344826560.

The previous prime is 5556662417. The next prime is 5556662443. The reversal of 5556662430 is 342666555.

It is an interprime number because it is at equal distance from previous prime (5556662417) and next prime (5556662443).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3509419 + ... + 3511001.

It is an arithmetic number, because the mean of its divisors is an integer number (152947872).

Almost surely, 25556662430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5556662430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341497856).

5556662430 is an abundant number, since it is smaller than the sum of its proper divisors (9126333282).

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

5556662430 is a wasteful number, since it uses less digits than its factorization.

5556662430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The square root of 5556662430 is about 74543.0240196895. The cubic root of 5556662430 is about 1771.2152304549.

It can be divided in two parts, 555666 and 2430, that added together give a triangular number (558096 = T1056).

The spelling of 5556662430 in words is "five billion, five hundred fifty-six million, six hundred sixty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 967 1210 1583 1815 1934 2901 3166 3630 4749 4835 5802 7915 9498 9670 10637 14505 15830 17413 21274 23745 29010 31911 34826 47490 52239 53185 63822 87065 104478 106370 117007 159555 174130 191543 234014 261195 319110 351021 383086 522390 574629 585035 702042 957715 1149258 1170070 1530761 1755105 1915430 2873145 3061522 3510210 4592283 5746290 7653805 9184566 15307610 16838371 22961415 33676742 45922830 50515113 84191855 101030226 168383710 185222081 252575565 370444162 505151130 555666243 926110405 1111332486 1852220810 2778331215 5556662430