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1054324513312 = 25741707916217
BaseRepresentation
bin11110101011110101010…
…00110101101000100000
310201210101200120122010121
433111322220311220200
5114233224033411222
62124203333210024
7136113100332220
oct17257250655040
93653350518117
101054324513312
11377155779894
12150403190914
1378564c5b585
143905b242080
151c65aad35c7
hexf57aa35a20

1054324513312 has 96 divisors (see below), whose sum is σ = 2430582577920. Its totient is φ = 440743096320.

The previous prime is 1054324513309. The next prime is 1054324513337. The reversal of 1054324513312 is 2133154234501.

1054324513312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10543245133122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65005428 + ... + 65021644.

It is an arithmetic number, because the mean of its divisors is an integer number (25318568520).

Almost surely, 21054324513312 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 1054324513312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215291288960).

1054324513312 is an abundant number, since it is smaller than the sum of its proper divisors (1376258064608).

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

1054324513312 is a wasteful number, since it uses less digits than its factorization.

1054324513312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23354 (or 23346 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 1054324513312 its reverse (2133154234501), we get a palindrome (3187478747813).

The spelling of 1054324513312 in words is "one trillion, fifty-four billion, three hundred twenty-four million, five hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 7079 9184 14158 16217 28316 32434 49553 56632 64868 99106 113264 113519 129736 198212 226528 227038 259472 290239 396424 454076 518944 580478 664897 792848 908152 1160956 1329794 1585696 1816304 2031673 2321912 2659588 3632608 4063346 4643824 4654279 5319176 8126692 9287648 9308558 10638352 16253384 18617116 21276704 32506768 37234232 65013536 74468464 114800143 148936928 229600286 459200572 803601001 918401144 1607202002 1836802288 3214404004 3673604576 4706805863 6428808008 9413611726 12857616016 18827223452 25715232032 32947641041 37654446904 65895282082 75308893808 131790564164 150617787616 263581128328 527162256656 1054324513312