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2935997064 = 23337111337367
BaseRepresentation
bin1010111011111111…
…1100001010001000
321120121121002211000
42232333330022020
522003103401224
61203200335000
7132520364130
oct25677741210
97517532730
102935997064
111277326060
1269b314460
1337a365590
141dbd05ac0
15122b500c9
hexaeffc288

2935997064 has 512 divisors, whose sum is σ = 11276697600. Its totient is φ = 683043840.

The previous prime is 2935997047. The next prime is 2935997069. The reversal of 2935997064 is 4607995392.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2935997064.

It is not an unprimeable number, because it can be changed into a prime (2935997069) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7999809 + ... + 8000175.

It is an arithmetic number, because the mean of its divisors is an integer number (22024800).

Almost surely, 22935997064 is an apocalyptic number.

2935997064 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 2935997064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638348800).

2935997064 is an abundant number, since it is smaller than the sum of its proper divisors (8340700536).

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

2935997064 is a wasteful number, since it uses less digits than its factorization.

2935997064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 2935997064 is about 54184.8416441351. The cubic root of 2935997064 is about 1431.9192876598.

It can be divided in two parts, 2935 and 997064, that added together give a palindrome (999999).

The spelling of 2935997064 in words is "two billion, nine hundred thirty-five million, nine hundred ninety-seven thousand, sixty-four".