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1054054404432 = 24334751913633
BaseRepresentation
bin11110101011010101000…
…10011101000101010000
310201202200212022200102000
433111222202131011100
5114232200411420212
62124120443554000
7136103310415611
oct17255242350520
93652625280360
101054054404432
11377027261007
1215034882b900
1378520cc8033
143903340dc08
151c64202b1dc
hexf56a89d150

1054054404432 has 80 divisors (see below), whose sum is σ = 3089899495680. Its totient is φ = 343875898368.

The previous prime is 1054054404413. The next prime is 1054054404433. The reversal of 1054054404432 is 2344044504501.

1054054404432 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 544 + 0 + 44 + 32 = 666.

It is a super-2 number, since 2×10540544044322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054054404433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25936513 + ... + 25977120.

It is an arithmetic number, because the mean of its divisors is an integer number (38623743696).

Almost surely, 21054054404432 is an apocalyptic number.

1054054404432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054054404432 is an abundant number, since it is smaller than the sum of its proper divisors (2035845091248).

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

1054054404432 is a wasteful number, since it uses less digits than its factorization.

1054054404432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51913697 (or 51913685 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 1054054404432 its reverse (2344044504501), we get a palindrome (3398098908933).

The spelling of 1054054404432 in words is "one trillion, fifty-four billion, fifty-four million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 20304 51913633 103827266 155740899 207654532 311481798 415309064 467222697 622963596 830618128 934445394 1245927192 1401668091 1868890788 2439940751 2491854384 2803336182 3737781576 4879881502 5606672364 7319822253 7475563152 9759763004 11213344728 14639644506 19519526008 21959466759 22426689456 29279289012 39039052016 43918933518 58558578024 65878400277 87837867036 117117156048 131756800554 175675734072 263513601108 351351468144 527027202216 1054054404432