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7161904989876 = 22372133312830609
BaseRepresentation
bin110100000111000001011…
…0011011000011010110100
3221100200010110202122012210
41220032002303120122310
51414320040134134001
623122044515213420
71336300452654600
oct150160263303264
927320113678183
107161904989876
11231138a7245aa
129780375a7270
133cc4984550a0
141aa8d0b52500
15c646e532dd6
hex68382cd86b4

7161904989876 has 144 divisors (see below), whose sum is σ = 20998053746880. Its totient is φ = 1883146890240.

The previous prime is 7161904989829. The next prime is 7161904989919. The reversal of 7161904989876 is 6789894091617.

It is a junction number, because it is equal to n+sod(n) for n = 7161904989798 and 7161904989807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114860 + ... + 3945468.

Almost surely, 27161904989876 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 7161904989876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499026873440).

7161904989876 is an abundant number, since it is smaller than the sum of its proper divisors (13836148757004).

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

7161904989876 is a wasteful number, since it uses less digits than its factorization.

7161904989876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830974 (or 2830965 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 75.

The spelling of 7161904989876 in words is "seven trillion, one hundred sixty-one billion, nine hundred four million, nine hundred eighty-nine thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 331 364 546 588 637 662 993 1092 1274 1324 1911 1986 2317 2548 3822 3972 4303 4634 6951 7644 8606 9268 12909 13902 16219 17212 25818 27804 30121 32438 48657 51636 60242 64876 90363 97314 120484 180726 194628 210847 361452 421694 632541 843388 1265082 2530164 2830609 5661218 8491827 11322436 16983654 19814263 33967308 36797917 39628526 59442789 73595834 79257052 110393751 118885578 138699841 147191668 220787502 237771156 257585419 277399682 416099523 441575004 515170838 554799364 772756257 832199046 936931579 1030341676 1545512514 1664398092 1803097933 1873863158 2810794737 3091025028 3606195866 3747726316 5409293799 5621589474 6558521053 7212391732 10818587598 11243178948 12180110527 13117042106 19675563159 21637175196 24360221054 26234084212 36540331581 39351126318 45909647371 48720442108 73080663162 78702252636 85260773689 91819294742 137728942113 146161326324 170521547378 183638589484 255782321067 275457884226 341043094756 511564642134 550915768452 596825415823 1023129284268 1193650831646 1790476247469 2387301663292 3580952494938 7161904989876