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1054232122544 = 243181112312129
BaseRepresentation
bin11110101011101010010…
…00011001010010110000
310201210011020201200211022
433111311020121102300
5114233031410410134
62124150233035012
7136110566121326
oct17256510312260
93653136650738
101054232122544
11377108605287
12150398255a68
137854ba80393
143904cc71d16
151c65293352e
hexf5752194b0

1054232122544 has 80 divisors (see below), whose sum is σ = 2113771376640. Its totient is φ = 508830336000.

The previous prime is 1054232122529. The next prime is 1054232122547. The reversal of 1054232122544 is 4452212324501.

It is a super-2 number, since 2×10542321225442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054232122547) 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, 495176072 + ... + 495178200.

It is an arithmetic number, because the mean of its divisors is an integer number (26422142208).

Almost surely, 21054232122544 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 1054232122544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056885688320).

1054232122544 is an abundant number, since it is smaller than the sum of its proper divisors (1059539254096).

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

1054232122544 is a wasteful number, since it uses less digits than its factorization.

1054232122544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 1054232122544 in words is "one trillion, fifty-four billion, two hundred thirty-two million, one hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 811 1231 1622 2129 2462 3244 4258 4924 6488 8516 9848 12976 17032 19696 25141 34064 38161 50282 65999 76322 100564 131998 152644 201128 263996 305288 402256 527992 610576 998341 1055984 1726619 1996682 2620799 3453238 3993364 5241598 6906476 7986728 10483196 13812952 15973456 20966392 27625904 30948571 41932784 53525189 61897142 81244769 107050378 123794284 162489538 214100756 247588568 324979076 428201512 495177136 649958152 856403024 1299916304 2125467989 4250935978 8501871956 17003743912 34007487824 65889507659 131779015318 263558030636 527116061272 1054232122544