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5335436556 = 2232372731483
BaseRepresentation
bin1001111100000010…
…00100110100001100
3111202211120021000100
410332001010310030
541411332432211
62241232531100
7246134314422
oct47601046414
914684507010
105335436556
1122987954aa
12104a9b0a90
136704b6068
1438885b112
15213615156
hex13e044d0c

5335436556 has 108 divisors (see below), whose sum is σ = 14060511192. Its totient is φ = 1705556736.

The previous prime is 5335436549. The next prime is 5335436573. The reversal of 5335436556 is 6556345335.

5335436556 is a `hidden beast` number, since 53 + 3 + 5 + 43 + 6 + 556 = 666.

It is a super-2 number, since 2×53354365562 = 56933766486202282272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3596991 + ... + 3598473.

Almost surely, 25335436556 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 5335436556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030255596).

5335436556 is an abundant number, since it is smaller than the sum of its proper divisors (8725074636).

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

5335436556 is a wasteful number, since it uses less digits than its factorization.

5335436556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1598 counting only the distinct ones).

The product of its digits is 2430000, while the sum is 45.

The square root of 5335436556 is about 73044.0726958731. The cubic root of 5335436556 is about 1747.3905660685.

The spelling of 5335436556 in words is "five billion, three hundred thirty-five million, four hundred thirty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 146 148 219 222 292 333 438 444 657 666 876 1314 1332 1369 1483 2628 2701 2738 2966 4107 4449 5402 5476 5932 8103 8214 8898 10804 12321 13347 16206 16428 17796 24309 24642 26694 32412 48618 49284 53388 54871 97236 99937 108259 109742 164613 199874 216518 219484 299811 324777 329226 399748 433036 493839 599622 649554 658452 899433 974331 987678 1199244 1299108 1798866 1948662 1975356 2030227 3597732 3897324 4005583 4060454 6090681 8011166 8120908 12016749 12181362 16022332 18272043 24033498 24362724 36050247 36544086 48066996 72100494 73088172 144200988 148206571 296413142 444619713 592826284 889239426 1333859139 1778478852 2667718278 5335436556