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57674706000 = 2435353293619
BaseRepresentation
bin110101101101101011…
…100010110001010000
312111212110010122001020
4311231223202301100
51421104211043000
642255001035440
74111142624622
oct655553426120
9174773118036
1057674706000
112250696028a
12b217185b80
135591a9a092
142b11b1cc12
151778536ba0
hexd6dae2c50

57674706000 has 320 divisors, whose sum is σ = 190405313280. Its totient is φ = 15013939200.

The previous prime is 57674705983. The next prime is 57674706031. The reversal of 57674706000 is 60747675.

57674706000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93173691 + ... + 93174309.

It is an arithmetic number, because the mean of its divisors is an integer number (595016604).

Almost surely, 257674706000 is an apocalyptic number.

57674706000 is a gapful number since it is divisible by the number (50) 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 57674706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95202656640).

57674706000 is an abundant number, since it is smaller than the sum of its proper divisors (132730607280).

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

57674706000 is a wasteful number, since it uses less digits than its factorization.

57674706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 57674706000 in words is "fifty-seven billion, six hundred seventy-four million, seven hundred six thousand".