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12410442054 = 2376014721
BaseRepresentation
bin10111000111011100…
…00101000101000110
31012000220102210000000
423203232011011012
5200404033121204
65411250502130
7616354005543
oct134356050506
935026383000
1012410442054
11529940988a
1224a4294946
13122a1c0c4a
1485a33dbca
154c97e8039
hex2e3b85146

12410442054 has 64 divisors (see below), whose sum is σ = 27971616960. Its totient is φ = 4129056000.

The previous prime is 12410442053. The next prime is 12410442101. The reversal of 12410442054 is 45024401421.

12410442054 is a `hidden beast` number, since 1 + 2 + 410 + 44 + 205 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12410442053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626414 + ... + 2631134.

It is an arithmetic number, because the mean of its divisors is an integer number (437056515).

Almost surely, 212410442054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12410442054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985808480).

12410442054 is an abundant number, since it is smaller than the sum of its proper divisors (15561174906).

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

12410442054 is an frugal number, since it uses more digits than its factorization.

12410442054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12410442054 its reverse (45024401421), we get a palindrome (57434843475).

The spelling of 12410442054 in words is "twelve billion, four hundred ten million, four hundred forty-two thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 601 729 1202 1458 1803 2187 3606 4374 4721 5409 9442 10818 14163 16227 28326 32454 42489 48681 84978 97362 127467 146043 254934 292086 382401 438129 764802 876258 1147203 1314387 2294406 2628774 2837321 3441609 5674642 6883218 8511963 10324827 17023926 20649654 25535889 51071778 76607667 153215334 229823001 459646002 689469003 1378938006 2068407009 4136814018 6205221027 12410442054