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1054112563530 = 232513900950909
BaseRepresentation
bin11110101011011100000…
…00010100000101001010
310201202211220202110200200
433111232000110011022
5114232310304013110
62124130322313030
7136104614644635
oct17255600240512
93652756673620
101054112563530
11377057074884
121503641b8776
137853007c0c0
143903b02cc1c
151c6471b86c0
hexf56e01414a

1054112563530 has 48 divisors (see below), whose sum is σ = 2951515181160. Its totient is φ = 259473861504.

The previous prime is 1054112563519. The next prime is 1054112563541. The reversal of 1054112563530 is 353652114501.

1054112563530 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 12 + 5 + 635 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1054112563519) and next prime (1054112563541).

It can be written as a sum of positive squares in 4 ways, for example, as 835540418241 + 218572145289 = 914079^2 + 467517^2 .

It is a super-2 number, since 2×10541125635302 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450474285 + ... + 450476624.

Almost surely, 21054112563530 is an apocalyptic number.

1054112563530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054112563530 is an abundant number, since it is smaller than the sum of its proper divisors (1897402617630).

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

1054112563530 is a wasteful number, since it uses less digits than its factorization.

1054112563530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900950935 (or 900950932 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1054112563530 in words is "one trillion, fifty-four billion, one hundred twelve million, five hundred sixty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 900950909 1801901818 2702852727 4504754545 5405705454 8108558181 9009509090 11712361817 13514263635 16217116362 23424723634 27028527270 35137085451 40542790905 58561809085 70274170902 81085581810 105411256353 117123618170 175685427255 210822512706 351370854510 527056281765 1054112563530