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607607778064 = 2474412972
BaseRepresentation
bin10001101011110000011…
…11101110101100010000
32011002100020020020001011
420311320033232230100
534423340042344224
61143044155220304
761620041620000
oct10657017565420
92132306206034
10607607778064
11214759828891
1299912747694
13453b2b53431
14215a0810000
1510c12bde394
hex8d783eeb10

607607778064 has 225 divisors, whose sum is σ = 1422340492191. Its totient is φ = 251432939520.

The previous prime is 607607778061. The next prime is 607607778083. The reversal of 607607778064 is 460877706706.

The square root of 607607778064 is 779492.

It is a perfect power (a square), and thus also a powerful number.

607607778064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 202338032400 + 405269745664 = 449820^2 + 636608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (607607778061) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6263997664 + ... + 6263997760.

Almost surely, 2607607778064 is an apocalyptic number.

607607778064 is the 779492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 607607778064

607607778064 is an abundant number, since it is smaller than the sum of its proper divisors (814732714127).

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

607607778064 is an frugal number, since it uses more digits than its factorization.

607607778064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 58.

The spelling of 607607778064 in words is "six hundred seven billion, six hundred seven million, seven hundred seventy-eight thousand, sixty-four".