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2149615104 = 29372134
BaseRepresentation
bin1000000000100000…
…1000011000000000
312112210212202120020
42000020020120000
513400300140404
6553145413440
7104161266300
oct20010103000
95483782506
102149615104
11a0344670a
124bba9a280
13283470000
141656c3600
15c8ab7ed9
hex80208600

2149615104 has 300 divisors, whose sum is σ = 7216802604. Its totient is φ = 566931456.

The previous prime is 2149615073. The next prime is 2149615109. The reversal of 2149615104 is 4015169412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149615109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 165355002 + ... + 165355014.

Almost surely, 22149615104 is an apocalyptic number.

2149615104 is a gapful number since it is divisible by the number (24) 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 2149615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608401302).

2149615104 is an abundant number, since it is smaller than the sum of its proper divisors (5067187500).

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

2149615104 is an frugal number, since it uses more digits than its factorization.

2149615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2149615104 is about 46363.9418514000. The cubic root of 2149615104 is about 1290.5858573210.

The spelling of 2149615104 in words is "two billion, one hundred forty-nine million, six hundred fifteen thousand, one hundred four".