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5335024842 = 2327246113121
BaseRepresentation
bin1001111011111111…
…00000010011001010
3111202210210100020200
410331333200103022
541411231243332
62241220033030
7246130651200
oct47577402312
914683710220
105335024842
112298534144
12104a832776
136703a0844
14388791070
1521358317c
hex13dfe04ca

5335024842 has 72 divisors (see below), whose sum is σ = 13476635172. Its totient is φ = 1520870400.

The previous prime is 5335024831. The next prime is 5335024843. The reversal of 5335024842 is 2484205335.

It can be written as a sum of positive squares in 2 ways, for example, as 4893142401 + 441882441 = 69951^2 + 21021^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5335024797 and 5335024806.

It is not an unprimeable number, because it can be changed into a prime (5335024843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400042 + ... + 413162.

Almost surely, 25335024842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5335024842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738317586).

5335024842 is an abundant number, since it is smaller than the sum of its proper divisors (8141610330).

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

5335024842 is a wasteful number, since it uses less digits than its factorization.

5335024842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13604 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5335024842 is about 73041.2543840808. The cubic root of 5335024842 is about 1747.3456185647.

The spelling of 5335024842 in words is "five billion, three hundred thirty-five million, twenty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 461 882 922 1383 2766 3227 4149 6454 8298 9681 13121 19362 22589 26242 29043 39363 45178 58086 67767 78726 91847 118089 135534 183694 203301 236178 275541 406602 551082 642929 826623 1285858 1653246 1928787 3857574 5786361 6048781 11572722 12097562 18146343 36292686 42341467 54439029 84682934 108878058 127024401 254048802 296390269 381073203 592780538 762146406 889170807 1778341614 2667512421 5335024842