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2534808631032 = 2332533331199417
BaseRepresentation
bin100100111000101110010…
…111100011011011111000
322222022210011122020021100
4210320232113203123320
5313012242002143112
65220250334011400
7351063630601626
oct44705627433370
98868704566240
102534808631032
11898008431a47
1234b31a346b60
13155054081232
148a984a06516
1545e0998e2dc
hex24e2e5e36f8

2534808631032 has 96 divisors (see below), whose sum is σ = 6996771971280. Its totient is φ = 828740989440.

The previous prime is 2534808631031. The next prime is 2534808631049. The reversal of 2534808631032 is 2301368084352.

2534808631032 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 8 + 0 + 8 + 631 + 0 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534808631031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12611388 + ... + 12810804.

Almost surely, 22534808631032 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 2534808631032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498385985640).

2534808631032 is an abundant number, since it is smaller than the sum of its proper divisors (4461963340248).

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

2534808631032 is a wasteful number, since it uses less digits than its factorization.

2534808631032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202813 (or 202806 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2534808631032 in words is "two trillion, five hundred thirty-four billion, eight hundred eight million, six hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3331 3816 6662 9993 13324 19986 26648 29979 39972 59958 79944 119916 176543 199417 239832 353086 398834 529629 598251 706172 797668 1059258 1196502 1412344 1588887 1595336 1794753 2118516 2393004 3177774 3589506 4237032 4786008 6355548 7179012 10569101 12711096 14358024 21138202 31707303 42276404 63414606 84552808 95121909 126829212 190243818 253658424 380487636 664258027 760975272 1328516054 1992774081 2657032108 3985548162 5314064216 5978322243 7971096324 11956644486 15942192648 23913288972 35205675431 47826577944 70411350862 105617026293 140822701724 211234052586 281645403448 316851078879 422468105172 633702157758 844936210344 1267404315516 2534808631032