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42491819424 = 2533711962787
BaseRepresentation
bin100111100100101101…
…011011010110100000
311001200022212002010210
4213210231123112200
51144010401210144
631304231054120
73032662335315
oct474455332640
9131608762123
1042491819424
111702558493a
12829a511340
1340123a9322
1420b14ccd0c
15118a648ab9
hex9e4b5b5a0

42491819424 has 48 divisors (see below), whose sum is σ = 114555657888. Its totient is φ = 13781129472.

The previous prime is 42491819423. The next prime is 42491819429.

42491819424 is nontrivially palindromic in base 10.

42491819424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42491819423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5977842 + ... + 5984945.

It is an arithmetic number, because the mean of its divisors is an integer number (2386576206).

Almost surely, 242491819424 is an apocalyptic number.

It is an amenable number.

42491819424 is an abundant number, since it is smaller than the sum of its proper divisors (72063838464).

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

42491819424 is a wasteful number, since it uses less digits than its factorization.

42491819424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11962837 (or 11962829 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 42491819424 in words is "forty-two billion, four hundred ninety-one million, eight hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 11962787 23925574 35888361 47851148 71776722 95702296 143553444 191404592 287106888 382809184 442623119 574213776 885246238 1148427552 1327869357 1770492476 2655738714 3540984952 5311477428 7081969904 10622954856 14163939808 21245909712 42491819424