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1630516704 = 253711391721
BaseRepresentation
bin110000100101111…
…1011010111100000
311012122002211102120
41201023323113200
511314403013304
6425443344240
755256110005
oct14113732740
94178084376
101630516704
11767425373
12396082080
131cca5bcab
141167998ac
159822b0d9
hex612fb5e0

1630516704 has 96 divisors (see below), whose sum is σ = 4374155520. Its totient is φ = 531686400.

The previous prime is 1630516697. The next prime is 1630516717. The reversal of 1630516704 is 4076150361.

1630516704 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946564 + ... + 948284.

It is an arithmetic number, because the mean of its divisors is an integer number (45564120).

Almost surely, 21630516704 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 1630516704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187077760).

1630516704 is an abundant number, since it is smaller than the sum of its proper divisors (2743638816).

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

1630516704 is a wasteful number, since it uses less digits than its factorization.

1630516704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1630516704 is about 40379.6570564932. The cubic root of 1630516704 is about 1176.9962634509.

The spelling of 1630516704 in words is "one billion, six hundred thirty million, five hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 139 142 213 278 284 417 426 556 568 834 852 1112 1136 1668 1704 1721 2224 2272 3336 3408 3442 4448 5163 6672 6816 6884 9869 10326 13344 13768 19738 20652 27536 29607 39476 41304 55072 59214 78952 82608 118428 122191 157904 165216 236856 239219 244382 315808 366573 473712 478438 488764 717657 733146 947424 956876 977528 1435314 1466292 1913752 1955056 2870628 2932584 3827504 3910112 5741256 5865168 7655008 11482512 11730336 16984549 22965024 33969098 50953647 67938196 101907294 135876392 203814588 271752784 407629176 543505568 815258352 1630516704