Search a number
-
+
20173920157944 = 2333722216007447
BaseRepresentation
bin1001001011001000110110…
…10110000100000011111000
32122102121102011220221112000
410211210123112010003320
510121012142030023234
6110523434310421000
74151342355665640
oct445443326040370
978377364827460
1020173920157944
116478790aa5963
122319a11061760
13b34514455cb7
144da5cc7c3520
1524eb83934899
hex12591b5840f8

20173920157944 has 128 divisors (see below), whose sum is σ = 64073037388800. Its totient is φ = 5761381011840.

The previous prime is 20173920157837. The next prime is 20173920157981. The reversal of 20173920157944 is 44975102937102.

20173920157944 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 3 + 9 + 20 + 1 + 579 + 44 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354429 + ... + 6361875.

It is an arithmetic number, because the mean of its divisors is an integer number (500570604600).

Almost surely, 220173920157944 is an apocalyptic number.

20173920157944 is a gapful number since it is divisible by the number (24) 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 20173920157944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32036518694400).

20173920157944 is an abundant number, since it is smaller than the sum of its proper divisors (43899117230856).

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

20173920157944 is a wasteful number, since it uses less digits than its factorization.

20173920157944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009690 (or 6009680 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 20173920157944 in words is "twenty trillion, one hundred seventy-three billion, nine hundred twenty million, one hundred fifty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2221 4442 6663 8884 13326 15547 17768 19989 26652 31094 39978 46641 53304 59967 62188 79956 93282 119934 124376 139923 159912 186564 239868 279846 373128 419769 479736 559692 839538 1119384 1679076 3358152 6007447 12014894 18022341 24029788 36044682 42052129 48059576 54067023 72089364 84104258 108134046 126156387 144178728 162201069 168208516 216268092 252312774 324402138 336417032 378469161 432536184 504625548 648804276 756938322 1009251096 1135407483 1297608552 1513876644 2270814966 3027753288 4541629932 9083259864 13342539787 26685079574 40027619361 53370159148 80055238722 93397778509 106740318296 120082858083 160110477444 186795557018 240165716166 280193335527 320220954888 360248574249 373591114036 480331432332 560386671054 720497148498 747182228072 840580006581 960662864664 1120773342108 1440994296996 1681160013162 2241546684216 2521740019743 2881988593992 3362320026324 5043480039486 6724640052648 10086960078972 20173920157944