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6454460064 = 253135171843
BaseRepresentation
bin1100000001011011…
…10011111010100000
3121122211012112200110
412000231303322200
5101204320210224
62544245251320
7315643001553
oct60055637240
917584175613
106454460064
112812413418
121301703b40
137bb297850
1445330c69a
1527b9a7929
hex180b73ea0

6454460064 has 48 divisors (see below), whose sum is σ = 18246265632. Its totient is φ = 1985987328.

The previous prime is 6454460063. The next prime is 6454460107. The reversal of 6454460064 is 4600644546.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6454460063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2584674 + ... + 2587169.

It is an arithmetic number, because the mean of its divisors is an integer number (380130534).

Almost surely, 26454460064 is an apocalyptic number.

It is an amenable number.

6454460064 is an abundant number, since it is smaller than the sum of its proper divisors (11791805568).

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

6454460064 is a wasteful number, since it uses less digits than its factorization.

6454460064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171869 (or 5171861 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 6454460064 is about 80339.6543681886. The cubic root of 6454460064 is about 1861.8869415944.

The spelling of 6454460064 in words is "six billion, four hundred fifty-four million, four hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5171843 10343686 15515529 20687372 31031058 41374744 62062116 67233959 82749488 124124232 134467918 165498976 201701877 248248464 268935836 403403754 496496928 537871672 806807508 1075743344 1613615016 2151486688 3227230032 6454460064