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1604911133672 = 2371141142744531
BaseRepresentation
bin10111010110101100001…
…010000111001111101000
312200102120000102220211222
4113112230022013033220
5202243324222234142
63225141435241212
7223644123360020
oct27265412071750
95612500386758
101604911133672
11569703549950
1221b0615a9208
13b845b53b9b2
145796ca58a80
152bb32834bd2
hex175ac2873e8

1604911133672 has 128 divisors (see below), whose sum is σ = 3846025774080. Its totient is φ = 609597888000.

The previous prime is 1604911133669. The next prime is 1604911133759. The reversal of 1604911133672 is 2763311194061.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36018047 + ... + 36062577.

It is an arithmetic number, because the mean of its divisors is an integer number (30047076360).

Almost surely, 21604911133672 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 1604911133672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923012887040).

1604911133672 is an abundant number, since it is smaller than the sum of its proper divisors (2241114640408).

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

1604911133672 is a wasteful number, since it uses less digits than its factorization.

1604911133672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46023 (or 46019 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 1604911133672 in words is "one trillion, six hundred four billion, nine hundred eleven million, one hundred thirty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 164 287 308 328 451 574 616 902 1148 1427 1804 2296 2854 3157 3608 5708 6314 9989 11416 12628 15697 19978 25256 31394 39956 44531 58507 62788 79912 89062 109879 117014 125576 178124 219758 234028 311717 356248 409549 439516 468056 489841 623434 643577 819098 879032 979682 1246868 1287154 1638196 1825771 1959364 2493736 2574308 3276392 3428887 3651542 3918728 4505039 5148616 6857774 7303084 9010078 12780397 13715548 14606168 18020156 20083481 25560794 27431096 36040312 40166962 51121588 63545737 80333924 102243176 127091474 140584367 160667848 254182948 281168734 444820159 508365896 562337468 699003107 889640318 1124674936 1398006214 1779280636 2605375217 2796012428 3558561272 4893021749 5210750434 5592024856 9786043498 10421500868 18237626519 19572086996 20843001736 28659127387 36475253038 39144173992 57318254774 72950506076 114636509548 145901012152 200613891709 229273019096 401227783418 802455566836 1604911133672