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494175113152 = 26725112133623
BaseRepresentation
bin1110011000011110010…
…00011100111111000000
31202020112220122210122121
413030033020130333000
531044032312110102
61015004303414024
750463056104060
oct7141710347700
91666486583577
10494175113152
1118063aa71826
127b9362b4314
13377a6434776
1419cbd7993a0
15ccc458ab37
hex730f21cfc0

494175113152 has 112 divisors (see below), whose sum is σ = 1126422001152. Its totient is φ = 210713472000.

The previous prime is 494175113149. The next prime is 494175113183. The reversal of 494175113152 is 251311571494.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 494175113099 and 494175113108.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 136397613 + ... + 136401235.

It is an arithmetic number, because the mean of its divisors is an integer number (10057339296).

Almost surely, 2494175113152 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 494175113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563211000576).

494175113152 is an abundant number, since it is smaller than the sum of its proper divisors (632246888000).

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

494175113152 is a wasteful number, since it uses less digits than its factorization.

494175113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5096 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The spelling of 494175113152 in words is "four hundred ninety-four billion, one hundred seventy-five million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 448 502 1004 1213 1757 2008 2426 3514 3623 4016 4852 7028 7246 8032 8491 9704 14056 14492 16064 16982 19408 25361 28112 28984 33964 38816 50722 56224 57968 67928 77632 101444 112448 115936 135856 202888 231872 271712 304463 405776 543424 608926 811552 909373 1217852 1623104 1818746 2131241 2435704 3637492 4262482 4394699 4871408 6365611 7274984 8524964 8789398 9742816 12731222 14549968 17049928 17578796 19485632 25462444 29099936 30762893 34099856 35157592 50924888 58199872 61525786 68199712 70315184 101849776 123051572 136399424 140630368 203699552 246103144 281260736 407399104 492206288 984412576 1103069449 1968825152 2206138898 4412277796 7721486143 8824555592 15442972286 17649111184 30885944572 35298222368 61771889144 70596444736 123543778288 247087556576 494175113152