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19111311828 = 22337213925981
BaseRepresentation
bin10001110011000111…
…110111100111010100
31211022220022020021000
4101303013313213110
5303114443434303
612440221423300
71244411320200
oct216307674724
954286266230
1019111311828
118117923494
12385440ab30
131a57541c4b
14cd4271b00
1576cc25da3
hex4731f79d4

19111311828 has 144 divisors (see below), whose sum is σ = 58054180800. Its totient is φ = 5420882880.

The previous prime is 19111311811. The next prime is 19111311833. The reversal of 19111311828 is 82811311191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19111311792 and 19111311801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722598 + ... + 748578.

Almost surely, 219111311828 is an apocalyptic number.

19111311828 is a gapful number since it is divisible by the number (18) 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 19111311828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29027090400).

19111311828 is an abundant number, since it is smaller than the sum of its proper divisors (38942868972).

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

19111311828 is a wasteful number, since it uses less digits than its factorization.

19111311828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26147 (or 26132 counting only the distinct ones).

The product of its digits is 3456, while the sum is 36.

The spelling of 19111311828 in words is "nineteen billion, one hundred eleven million, three hundred eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 139 147 189 196 252 278 294 378 417 441 556 588 756 834 882 973 1251 1323 1668 1764 1946 2502 2646 2919 3753 3892 5004 5292 5838 6811 7506 8757 11676 13622 15012 17514 20433 25981 26271 27244 35028 40866 51962 52542 61299 77943 81732 103924 105084 122598 155886 181867 183897 233829 245196 311772 363734 367794 467658 545601 701487 727468 735588 935316 1091202 1273069 1402974 1636803 2182404 2546138 2805948 3273606 3611359 3819207 4910409 5092276 6547212 7222718 7638414 9820818 10834077 11457621 14445436 15276828 19641636 21668154 22915242 25279513 32502231 34372863 43336308 45830484 50559026 65004462 68745726 75838539 97506693 101118052 130008924 137491452 151677078 176956591 195013386 227515617 303354156 353913182 390026772 455031234 530869773 682546851 707826364 910062468 1061739546 1365093702 1592609319 2123479092 2730187404 3185218638 4777827957 6370437276 9555655914 19111311828