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2087076672 = 263317233089
BaseRepresentation
bin111110001100110…
…0100001101000000
312101110012110222000
41330121210031000
513233242423142
6543033144000
7102501600432
oct17431441500
95343173860
102087076672
1198111165a
124a2b5b000
13273514815
1415b284652
15c336314c
hex7c664340

2087076672 has 224 divisors, whose sum is σ = 6781190400. Its totient is φ = 626098176.

The previous prime is 2087076661. The next prime is 2087076683. The reversal of 2087076672 is 2766707802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2087076661) and next prime (2087076683).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674104 + ... + 677192.

Almost surely, 22087076672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390595200).

2087076672 is an abundant number, since it is smaller than the sum of its proper divisors (4694113728).

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

2087076672 is a wasteful number, since it uses less digits than its factorization.

2087076672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 2087076672 is about 45684.5342758356. The cubic root of 2087076672 is about 1277.9468778201.

The spelling of 2087076672 in words is "two billion, eighty-seven million, seventy-six thousand, six hundred seventy-two".