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5435985016 = 23711372931
BaseRepresentation
bin1010001000000001…
…01000110001111000
3112000211202122120101
411010000220301320
542113103010031
62255224005144
7251465052550
oct50400506170
915024678511
105435985016
11233a521000
1210786007b4
1368828c3a7
14397d52160
1521c377361
hex144028c78

5435985016 has 64 divisors (see below), whose sum is σ = 12812693760. Its totient is φ = 2117887200.

The previous prime is 5435984993. The next prime is 5435985019. The reversal of 5435985016 is 6105895345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435985019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38071 + ... + 111001.

It is an arithmetic number, because the mean of its divisors is an integer number (200198340).

Almost surely, 25435985016 is an apocalyptic number.

5435985016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435985016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406346880).

5435985016 is an abundant number, since it is smaller than the sum of its proper divisors (7376708744).

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

5435985016 is a wasteful number, since it uses less digits than its factorization.

5435985016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72977 (or 72951 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The square root of 5435985016 is about 73729.1327495448. The cubic root of 5435985016 is about 1758.2990858844.

The spelling of 5435985016 in words is "five billion, four hundred thirty-five million, nine hundred eighty-five thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1331 1694 2662 3388 5324 6776 9317 10648 18634 37268 72931 74536 145862 291724 510517 583448 802241 1021034 1604482 2042068 3208964 4084136 5615687 6417928 8824651 11231374 17649302 22462748 35298604 44925496 61772557 70597208 97071161 123545114 194142322 247090228 388284644 494180456 679498127 776569288 1358996254 2717992508 5435985016