Search a number
-
+
19603596672 = 273411171889
BaseRepresentation
bin10010010000011101…
…110010010110000000
31212121012121220010000
4102100131302112000
5310122010043142
613001125040000
71262536552032
oct222035622600
955535556100
1019603596672
11834a7a0370
123971256000
131b0552545a
14d3d7b9c52
1579b06814c
hex490772580

19603596672 has 160 divisors (see below), whose sum is σ = 63643991400. Its totient is φ = 5940449280.

The previous prime is 19603596667. The next prime is 19603596763. The reversal of 19603596672 is 27669530691.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 28104 + ... + 199992.

Almost surely, 219603596672 is an apocalyptic number.

19603596672 is a gapful number since it is divisible by the number (12) 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 19603596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31821995700).

19603596672 is an abundant number, since it is smaller than the sum of its proper divisors (44040394728).

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

19603596672 is a wasteful number, since it uses less digits than its factorization.

19603596672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171926 (or 171905 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 19603596672 in words is "nineteen billion, six hundred three million, five hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 28512 38016 57024 114048 171889 343778 515667 687556 1031334 1375112 1547001 1890779 2062668 2750224 3094002 3781558 4125336 4641003 5500448 5672337 6188004 7563116 8250672 9282006 11000896 11344674 12376008 13923009 15126232 16501344 17017011 18564012 22001792 22689348 24752016 27846018 30252464 33002688 34034022 37128024 45378696 49504032 51051033 55692036 60504928 66005376 68068044 74256048 90757392 99008064 102102066 111384072 121009856 136136088 148512096 153153099 181514784 198016128 204204132 222768144 242019712 272272176 297024192 306306198 363029568 408408264 445536288 544544352 594048384 612612396 726059136 816816528 891072576 1089088704 1225224792 1633633056 1782145152 2178177408 2450449584 3267266112 4900899168 6534532224 9801798336 19603596672