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6040977408 = 21734569
BaseRepresentation
bin1011010000001001…
…00000000000000000
3120121000011110010000
411220010200000000
544332442234113
62435235040000
7302462314014
oct55004400000
916530143100
106040977408
11261aa79814
121207140000
1375371545b
14414438544
1525552e373
hex168120000

6040977408 has 180 divisors, whose sum is σ = 18080002710. Its totient is φ = 2010120192.

The previous prime is 6040977407. The next prime is 6040977427. The reversal of 6040977408 is 8047790406.

It can be written as a sum of positive squares in only one way, i.e., 5780865024 + 260112384 = 76032^2 + 16128^2 .

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (6040977407) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10616548 + ... + 10617116.

Almost surely, 26040977408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6040977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9040001355).

6040977408 is an abundant number, since it is smaller than the sum of its proper divisors (12039025302).

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

6040977408 is an frugal number, since it uses more digits than its factorization.

6040977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6040977408 is about 77723.7248721393. The cubic root of 6040977408 is about 1821.2479272909.

The spelling of 6040977408 in words is "six billion, forty million, nine hundred seventy-seven thousand, four hundred eight".