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2676974976 = 273213434157
BaseRepresentation
bin1001111110001111…
…0110010110000000
320220120012102022100
42133203312112000
520440301144401
61121344510400
7123223624524
oct23743662600
96816172270
102676974976
11115409aa15
1262861b400
133387b4480
141b575bd84
1510a037b86
hex9f8f6580

2676974976 has 192 divisors, whose sum is σ = 8490802320. Its totient is φ = 804335616.

The previous prime is 2676974959. The next prime is 2676974987. The reversal of 2676974976 is 6794796762.

2676974976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641890 + ... + 646046.

Almost surely, 22676974976 is an apocalyptic number.

2676974976 is a gapful number since it is divisible by the number (26) 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 2676974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245401160).

2676974976 is an abundant number, since it is smaller than the sum of its proper divisors (5813827344).

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

2676974976 is a wasteful number, since it uses less digits than its factorization.

2676974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4218 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The square root of 2676974976 is about 51739.4914547872. The cubic root of 2676974976 is about 1388.5070968374.

The spelling of 2676974976 in words is "two billion, six hundred seventy-six million, nine hundred seventy-four thousand, nine hundred seventy-six".