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2935493064 = 23327131173257
BaseRepresentation
bin1010111011111000…
…0001000111001000
321120120122111110100
42232332001013020
522002441234224
61203141445400
7132513164550
oct25676010710
97516574410
102935493064
111277011429
1269b110860
1337a21a05a
141dbc14160
15122aa0ac9
hexaef811c8

2935493064 has 192 divisors, whose sum is σ = 9244160640. Its totient is φ = 824279040.

The previous prime is 2935493047. The next prime is 2935493069. The reversal of 2935493064 is 4603945392.

2935493064 is a `hidden beast` number, since 293 + 54 + 9 + 306 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2935493069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11422024 + ... + 11422280.

It is an arithmetic number, because the mean of its divisors is an integer number (48146670).

Almost surely, 22935493064 is an apocalyptic number.

2935493064 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 2935493064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622080320).

2935493064 is an abundant number, since it is smaller than the sum of its proper divisors (6308667576).

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

2935493064 is a wasteful number, since it uses less digits than its factorization.

2935493064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2935493064 is about 54180.1906973388. The cubic root of 2935493064 is about 1431.8373474529.

The spelling of 2935493064 in words is "two billion, nine hundred thirty-five million, four hundred ninety-three thousand, sixty-four".