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40475088512 = 274711359539
BaseRepresentation
bin100101101100100000…
…001101011010000000
310212110210000112102022
4211230200031122000
51130343110313022
630332145341012
72632003401335
oct455440153200
9125423015368
1040475088512
1116190150081
127a17037768
133a80624821
141d5d71a98c
1510bd57dc42
hex96c80d680

40475088512 has 64 divisors (see below), whose sum is σ = 83079734400. Its totient is φ = 19631345664.

The previous prime is 40475088487. The next prime is 40475088517. The reversal of 40475088512 is 21588057404.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (40475088517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650039 + ... + 709577.

It is an arithmetic number, because the mean of its divisors is an integer number (1298120850).

Almost surely, 240475088512 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 40475088512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41539867200).

40475088512 is an abundant number, since it is smaller than the sum of its proper divisors (42604645888).

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

40475088512 is a wasteful number, since it uses less digits than its factorization.

40475088512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59713 (or 59701 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 44.

The spelling of 40475088512 in words is "forty billion, four hundred seventy-five million, eighty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 113 128 188 226 376 452 752 904 1504 1808 3008 3616 5311 6016 7232 10622 14464 21244 42488 59539 84976 119078 169952 238156 339904 476312 679808 952624 1905248 2798333 3810496 5596666 6727907 7620992 11193332 13455814 22386664 26911628 44773328 53823256 89546656 107646512 179093312 215293024 316211629 358186624 430586048 632423258 861172096 1264846516 2529693032 5059386064 10118772128 20237544256 40475088512