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1923461042016 = 2533731713072
BaseRepresentation
bin11011111111010111001…
…101100100111101100000
320210212210022021221001110
4123333113031210331200
5223003222011321031
64031343101303320
7255652105044663
oct33772715447540
96725708257043
101923461042016
1168180a682908
12270943264b40
1310c4c64a8717
146914b6516da
15350787c2c46
hex1bfd7364f60

1923461042016 has 144 divisors (see below), whose sum is σ = 5205888270576. Its totient is φ = 621381510144.

The previous prime is 1923461041967. The next prime is 1923461042021. The reversal of 1923461042016 is 6102401643291.

It is a congruent number.

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, 1471660435 + ... + 1471661741.

It is an arithmetic number, because the mean of its divisors is an integer number (36152001879).

Almost surely, 21923461042016 is an apocalyptic number.

1923461042016 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 1923461042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602944135288).

1923461042016 is an abundant number, since it is smaller than the sum of its proper divisors (3282427228560).

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

1923461042016 is an equidigital number, since it uses as much as digits as its factorization.

1923461042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 1923461042016 in words is "one trillion, nine hundred twenty-three billion, four hundred sixty-one million, forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 317 444 592 634 888 951 1184 1268 1307 1776 1902 2536 2614 3552 3804 3921 5072 5228 7608 7842 10144 10456 11729 15216 15684 20912 23458 30432 31368 35187 41824 46916 48359 62736 70374 93832 96718 125472 140748 145077 187664 193436 281496 290154 375328 386872 414319 562992 580308 773744 828638 1125984 1160616 1242957 1547488 1657276 1708249 2321232 2485914 3314552 3416498 4642464 4971828 5124747 6629104 6832996 9943656 10249494 13258208 13665992 15329803 19887312 20498988 27331984 30659606 39774624 40997976 45989409 54663968 61319212 63205213 81995952 91978818 122638424 126410426 163991904 183957636 189615639 245276848 252820852 367915272 379231278 490553696 505641704 541514933 735830544 758462556 1011283408 1083029866 1471661088 1516925112 1624544799 2022566816 2166059732 3033850224 3249089598 4332119464 6067700448 6498179196 8664238928 12996358392 17328477856 20036052521 25992716784 40072105042 51985433568 60108157563 80144210084 120216315126 160288420168 240432630252 320576840336 480865260504 641153680672 961730521008 1923461042016