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1058536437904 = 241126723492
BaseRepresentation
bin11110110011101011011…
…00000011100010010000
310202012021020001120110201
433121311230003202100
5114320340312003104
62130141313304544
7136322343156601
oct17316554034220
93665236046421
101058536437904
11378a17250100
12151199865154
1378a86750b4a
143933a79dda8
151c80576b0a4
hexf675b03890

1058536437904 has 135 divisors (see below), whose sum is σ = 2295035407161. Its totient is φ = 472613454720.

The previous prime is 1058536437887. The next prime is 1058536437983. The reversal of 1058536437904 is 4097346358501.

It is a happy number.

The square root of 1058536437904 is 1028852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 776957628304 + 281578809600 = 881452^2 + 530640^2 .

It is a super-2 number, since 2×10585364379042 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3033055522 + ... + 3033055870.

Almost surely, 21058536437904 is an apocalyptic number.

1058536437904 is the 1028852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058536437904

1058536437904 is an abundant number, since it is smaller than the sum of its proper divisors (1236498969257).

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

1058536437904 is an frugal number, since it uses more digits than its factorization.

1058536437904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 1058536437904 in words is "one trillion, fifty-eight billion, five hundred thirty-six million, four hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 176 242 268 349 484 536 698 737 968 1072 1396 1474 1936 2792 2948 3839 4489 5584 5896 7678 8107 8978 11792 15356 16214 17956 23383 30712 32428 35912 42229 46766 49379 61424 64856 71824 84458 93532 98758 121801 129712 168916 187064 197516 243602 257213 337832 374128 395032 487204 514426 543169 675664 790064 974408 1028852 1086338 1339811 1566661 1948816 2057704 2172676 2679622 2829343 3133322 4115408 4345352 5359244 5658686 6266644 8160667 8690704 10718488 11317372 12533288 14737921 16321334 17233271 21436976 22634744 25066576 29475842 32642668 34466542 45269488 58951684 65285336 68933084 89767337 117903368 130570672 137866168 179534674 189565981 235806736 275732336 359069348 379131962 546764689 718138696 758263924 987440707 1093529378 1436277392 1516527848 1974881414 2187058756 3033055696 3949762828 4374117512 6014411579 7899525656 8748235024 12028823158 15799051312 24057646316 48115292632 66158527369 96230585264 132317054738 264634109476 529268218952 1058536437904