Search a number
-
+
1608362100672 = 26397121534007
BaseRepresentation
bin10111011001111001110…
…110100000011111000000
312200202110112001012121120
4113121321312200133000
5202322411144210142
63230512113352240
7224125466200215
oct27317166403700
95622415035546
101608362100672
11570114526498
1221b865268680
13b888b49b0c2
1457bb90d1b0c
152bc857a87ec
hex17679da07c0

1608362100672 has 112 divisors (see below), whose sum is σ = 4262882764032. Its totient is φ = 535186216960.

The previous prime is 1608362100671. The next prime is 1608362100673. The reversal of 1608362100672 is 2760012638061.

It is an interprime number because it is at equal distance from previous prime (1608362100671) and next prime (1608362100673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608362100671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401386093 + ... + 401390099.

Almost surely, 21608362100672 is an apocalyptic number.

1608362100672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1608362100672 is an abundant number, since it is smaller than the sum of its proper divisors (2654520663360).

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

1608362100672 is a wasteful number, since it uses less digits than its factorization.

1608362100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7146 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1608362100672 in words is "one trillion, six hundred eight billion, three hundred sixty-two million, one hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 971 1942 2153 2913 3884 4007 4306 5826 6459 7768 8014 8612 11652 12021 12918 15536 16028 17224 23304 24042 25836 31072 32056 34448 46608 48084 51672 62144 64112 68896 93216 96168 103344 128224 137792 186432 192336 206688 256448 384672 413376 769344 2090563 3890797 4181126 6271689 7781594 8362252 8627071 11672391 12543378 15563188 16724504 17254142 23344782 25086756 25881213 31126376 33449008 34508284 46689564 50173512 51762426 62252752 66898016 69016568 93379128 100347024 103524852 124505504 133796032 138033136 186758256 200694048 207049704 249011008 276066272 373516512 401388096 414099408 552132544 747033024 828198816 1656397632 8376885941 16753771882 25130657823 33507543764 50261315646 67015087528 100522631292 134030175056 201045262584 268060350112 402090525168 536120700224 804181050336 1608362100672