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5335106256 = 2433115310711
BaseRepresentation
bin1001111011111111…
…10100001011010000
3111202210221110221000
410331333310023100
541411241400011
62241221502000
7246131440434
oct47577641320
914683843830
105335106256
11229858a327
12104a871900
136703cb90c
143887b29c4
1521359c356
hex13dff42d0

5335106256 has 80 divisors (see below), whose sum is σ = 15328443520. Its totient is φ = 1776660480.

The previous prime is 5335106237. The next prime is 5335106267. The reversal of 5335106256 is 6526015335.

5335106256 is a `hidden beast` number, since 5 + 33 + 510 + 62 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5335106256.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 492741 + ... + 503451.

It is an arithmetic number, because the mean of its divisors is an integer number (191605544).

Almost surely, 25335106256 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 5335106256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664221760).

5335106256 is an abundant number, since it is smaller than the sum of its proper divisors (9993337264).

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

5335106256 is a wasteful number, since it uses less digits than its factorization.

5335106256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5335106256 is about 73041.8116971369. The cubic root of 5335106256 is about 1747.3545068502.

The spelling of 5335106256 in words is "five billion, three hundred thirty-five million, one hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1153 2306 3459 4612 6918 9224 10377 10711 13836 18448 20754 21422 27672 31131 32133 41508 42844 55344 62262 64266 83016 85688 96399 124524 128532 166032 171376 192798 249048 257064 289197 385596 498096 514128 578394 771192 1156788 1542384 2313576 4627152 12349783 24699566 37049349 49399132 74098698 98798264 111148047 148197396 197596528 222296094 296394792 333444141 444592188 592789584 666888282 889184376 1333776564 1778368752 2667553128 5335106256