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1685139456 = 212371113137
BaseRepresentation
bin110010001110001…
…0011000000000000
311100102212221202110
41210130103000000
511422343430311
6435114215320
756521310010
oct14434230000
94312787673
101685139456
11795243240
123b0424540
1320b175550
1411db37c40
159ce1a8a6
hex64713000

1685139456 has 416 divisors, whose sum is σ = 6076804608. Its totient is φ = 401080320.

The previous prime is 1685139451. The next prime is 1685139479. The reversal of 1685139456 is 6549315861.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685139451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12300220 + ... + 12300356.

Almost surely, 21685139456 is an apocalyptic number.

1685139456 is a gapful number since it is divisible by the number (16) 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 1685139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038402304).

1685139456 is an abundant number, since it is smaller than the sum of its proper divisors (4391665152).

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

1685139456 is a wasteful number, since it uses less digits than its factorization.

1685139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 1685139456 is about 41050.4501315150. The cubic root of 1685139456 is about 1189.9953995538.

It can be divided in two parts, 1685 and 139456, that added together give a palindrome (141141).

The spelling of 1685139456 in words is "one billion, six hundred eighty-five million, one hundred thirty-nine thousand, four hundred fifty-six".