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1064126004480 = 28355711157283
BaseRepresentation
bin11110111110000101101…
…10100011110100000000
310202201200202210222100000
433133002312203310000
5114413312224120410
62132504105200000
7136611014540220
oct17370266436400
93681622728300
101064126004480
1138032542a210
12152299790000
13794677943a6
143970ac90080
151ca3132ddc0
hexf7c2da3d00

1064126004480 has 1728 divisors, whose sum is σ = 4807509977088. Its totient is φ = 218932346880.

The previous prime is 1064126004463. The next prime is 1064126004497. The reversal of 1064126004480 is 844006214601.

It is a happy number.

1064126004480 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 2 + 600 + 4 + 48 + 0 = 666.

1064126004480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1064126004463) and next prime (1064126004497).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×10641260044802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3760162419 + ... + 3760162701.

Almost surely, 21064126004480 is an apocalyptic number.

1064126004480 is a gapful number since it is divisible by the number (10) 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 1064126004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403754988544).

1064126004480 is an abundant number, since it is smaller than the sum of its proper divisors (3743383972608).

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

1064126004480 is a wasteful number, since it uses less digits than its factorization.

1064126004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1064126004480 in words is "one trillion, sixty-four billion, one hundred twenty-six million, four thousand, four hundred eighty".