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19131669936 = 243541120017
BaseRepresentation
bin10001110100010101…
…100001110110110000
31211101022121112100000
4101310111201312300
5303140201414221
612442230030000
71245046340241
oct216425416660
954338545300
1019131669936
118128368875
12385b1a8300
131a5b81c372
14cd6c50cc8
1576e8e7e26
hex474561db0

19131669936 has 120 divisors (see below), whose sum is σ = 56879890704. Its totient is φ = 6221629440.

The previous prime is 19131669911. The next prime is 19131669941. The reversal of 19131669936 is 63996613191.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99400 + ... + 219416.

Almost surely, 219131669936 is an apocalyptic number.

19131669936 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 19131669936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28439945352).

19131669936 is an abundant number, since it is smaller than the sum of its proper divisors (37748220768).

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

19131669936 is a wasteful number, since it uses less digits than its factorization.

19131669936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120081 (or 120063 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

It can be divided in two parts, 1913 and 1669936, that added together give a square (1671849 = 12932).

The spelling of 19131669936 in words is "nineteen billion, one hundred thirty-one million, six hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 648 656 738 972 984 1107 1296 1476 1944 1968 2214 2952 3321 3888 4428 5904 6642 8856 9963 13284 17712 19926 26568 39852 53136 79704 120017 159408 240034 360051 480068 720102 960136 1080153 1440204 1920272 2160306 2880408 3240459 4320612 4920697 5760816 6480918 8641224 9721377 9841394 12961836 14762091 17282448 19442754 19682788 25923672 29164131 29524182 38885508 39365576 44286273 51847344 58328262 59048364 77771016 78731152 88572546 116656524 118096728 132858819 155542032 177145092 233313048 236193456 265717638 354290184 398576457 466626096 531435276 708580368 797152914 1062870552 1195729371 1594305828 2125741104 2391458742 3188611656 4782917484 6377223312 9565834968 19131669936