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1061610816 = 26372361563
BaseRepresentation
bin111111010001101…
…110010101000000
32201222121102021010
4333101232111000
54133233021231
6253202000520
735210354160
oct7721562500
92658542233
101061610816
114a5284a12
12257646140
1313bc2c3a6
14a0dc85a0
1563301546
hex3f46e540

1061610816 has 224 divisors, whose sum is σ = 3410638848. Its totient is φ = 284866560.

The previous prime is 1061610811. The next prime is 1061610821. The reversal of 1061610816 is 6180161601.

It is a happy number.

1061610816 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 (1061610811) and next prime (1061610821).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10616108162 = 2254035049296371712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061610811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1885351 + ... + 1885913.

Almost surely, 21061610816 is an apocalyptic number.

1061610816 is a gapful number since it is divisible by the number (16) 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 1061610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705319424).

1061610816 is an abundant number, since it is smaller than the sum of its proper divisors (2349028032).

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

1061610816 is a wasteful number, since it uses less digits than its factorization.

1061610816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1061610816 is about 32582.3697112411. The cubic root of 1061610816 is about 1020.1290417286.

The spelling of 1061610816 in words is "one billion, sixty-one million, six hundred ten thousand, eight hundred sixteen".