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1601994816 = 26324636007
BaseRepresentation
bin101111101111100…
…1000000001000000
311010122102202202100
41133133020001000
511240102313231
6422544150400
754461505552
oct13737100100
94118382670
101601994816
11752314464
12388608400
131c6b83a36
14112a934d2
15959951e6
hex5f7c8040

1601994816 has 84 divisors (see below), whose sum is σ = 4602512512. Its totient is φ = 532756224.

The previous prime is 1601994803. The next prime is 1601994817. The reversal of 1601994816 is 6184991061.

1601994816 is a `hidden beast` number, since 160 + 1 + 9 + 9 + 481 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601994817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263685 + ... + 269691.

Almost surely, 21601994816 is an apocalyptic number.

1601994816 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 1601994816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301256256).

1601994816 is an abundant number, since it is smaller than the sum of its proper divisors (3000517696).

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

1601994816 is a wasteful number, since it uses less digits than its factorization.

1601994816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1601994816 is about 40024.9274327887. The cubic root of 1601994816 is about 1170.0929665335.

The spelling of 1601994816 in words is "one billion, six hundred one million, nine hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 463 576 926 1389 1852 2778 3704 4167 5556 6007 7408 8334 11112 12014 14816 16668 18021 22224 24028 29632 33336 36042 44448 48056 54063 66672 72084 88896 96112 108126 133344 144168 192224 216252 266688 288336 384448 432504 576672 865008 1153344 1730016 2781241 3460032 5562482 8343723 11124964 16687446 22249928 25031169 33374892 44499856 50062338 66749784 88999712 100124676 133499568 177999424 200249352 266999136 400498704 533998272 800997408 1601994816