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42165625504 = 2517255730313
BaseRepresentation
bin100111010001010001…
…000110001010100000
311000211121001201012111
4213101101012022200
51142323400004004
631212015405104
73021621621532
oct472121061240
9130747051174
1042165625504
111697843a592
128209223794
133c8c939a82
14208005b852
15116bbb3a04
hex9d14462a0

42165625504 has 48 divisors (see below), whose sum is σ = 87934002408. Its totient is φ = 19834232832.

The previous prime is 42165625499. The next prime is 42165625519. The reversal of 42165625504 is 40552656124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42085701904 + 79923600 = 205148^2 + 8940^2 .

It is an unprimeable number.

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, 1375852 + ... + 1406164.

Almost surely, 242165625504 is an apocalyptic number.

It is an amenable number.

42165625504 is an abundant number, since it is smaller than the sum of its proper divisors (45768376904).

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

42165625504 is a wasteful number, since it uses less digits than its factorization.

42165625504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32897 (or 32889 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 42165625504 in words is "forty-two billion, one hundred sixty-five million, six hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 2557 5114 10228 20456 30313 40912 43469 60626 81824 86938 121252 173876 242504 347752 485008 515321 695504 970016 1030642 1391008 2061284 4122568 8245136 16490272 77510341 155020682 310041364 620082728 1240165456 1317675797 2480330912 2635351594 5270703188 10541406376 21082812752 42165625504