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1000413056552 = 2371317227356101
BaseRepresentation
bin11101000111011010100…
…00111100111000101000
310112122020111122212112212
432203231100330320220
5112342321220302202
62043330003424252
7132164111450360
oct16435520747050
93478214585485
101000413056552
113563000a9448
12141a78385088
1373452a2bcc0
14365c52499a0
151b052b58652
hexe8ed43ce28

1000413056552 has 128 divisors (see below), whose sum is σ = 2455223581440. Its totient is φ = 370845388800.

The previous prime is 1000413056509. The next prime is 1000413056557. The reversal of 1000413056552 is 2556503140001.

1000413056552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1000413056557) 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, 2631302 + ... + 2987402.

It is an arithmetic number, because the mean of its divisors is an integer number (19181434230).

Almost surely, 21000413056552 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 1000413056552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227611790720).

1000413056552 is an abundant number, since it is smaller than the sum of its proper divisors (1454810524888).

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

1000413056552 is a wasteful number, since it uses less digits than its factorization.

1000413056552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356371 (or 356367 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 1000413056552 its reverse (2556503140001), we get a palindrome (3556916196553).

The spelling of 1000413056552 in words is "one trillion, four hundred thirteen million, fifty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 227 238 364 442 454 476 728 884 908 952 1547 1589 1768 1816 2951 3094 3178 3859 5902 6188 6356 7718 11804 12376 12712 15436 20657 23608 27013 30872 41314 50167 54026 82628 100334 108052 165256 200668 216104 351169 356101 401336 702338 712202 1404676 1424404 2492707 2809352 2848808 4629313 4985414 6053717 9258626 9970828 12107434 18517252 19941656 24214868 32405191 37034504 42376019 48429736 64810382 78698321 80834927 84752038 129620764 157396642 161669854 169504076 259241528 314793284 323339708 339008152 550888247 565844489 629586568 646679416 1050854051 1101776494 1131688978 1374193759 2101708102 2203552988 2263377956 2748387518 4203416204 4407105976 4526755912 5496775036 7355978357 8406832408 9619356313 10993550072 14711956714 17864518867 19238712626 29423913428 35729037734 38477425252 58847826856 71458075468 76954850504 125051632069 142916150936 250103264138 500206528276 1000413056552