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2698139808 = 25367133141
BaseRepresentation
bin1010000011010010…
…0101100010100000
320222001000201000000
42200310211202200
521011210433213
61123422300000
7123601544550
oct24064454240
96861021000
102698139808
111165036411
12633727600
1333ccb4b40
141b84ab160
1510bd18c73
hexa0d258a0

2698139808 has 672 divisors, whose sum is σ = 10365207552. Its totient is φ = 671846400.

The previous prime is 2698139771. The next prime is 2698139827. The reversal of 2698139808 is 8089318962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 65808268 + ... + 65808308.

It is an arithmetic number, because the mean of its divisors is an integer number (15424416).

Almost surely, 22698139808 is an apocalyptic number.

2698139808 is a gapful number since it is divisible by the number (28) 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 2698139808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182603776).

2698139808 is an abundant number, since it is smaller than the sum of its proper divisors (7667067744).

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

2698139808 is a wasteful number, since it uses less digits than its factorization.

2698139808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 2698139808 is about 51943.6214370927. The cubic root of 2698139808 is about 1392.1567897113.

The spelling of 2698139808 in words is "two billion, six hundred ninety-eight million, one hundred thirty-nine thousand, eight hundred eight".