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42905509984 = 251974819433
BaseRepresentation
bin100111111101010111…
…100010000001100000
311002202011021201220101
4213331113202001200
51200332302304414
631413245552144
73046144550251
oct477527420140
9132664251811
1042905509984
1117218050767
128394b75654
13407a00223c
142110418b28
1511b1b13a74
hex9fd5e2060

42905509984 has 48 divisors (see below), whose sum is σ = 88937336880. Its totient is φ = 20318791680.

The previous prime is 42905509963. The next prime is 42905509991. The reversal of 42905509984 is 48990550924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4543732 + ... + 4553164.

It is an arithmetic number, because the mean of its divisors is an integer number (1852861185).

Almost surely, 242905509984 is an apocalyptic number.

It is an amenable number.

42905509984 is an abundant number, since it is smaller than the sum of its proper divisors (46031826896).

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

42905509984 is a wasteful number, since it uses less digits than its factorization.

42905509984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16943 (or 16935 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 42905509984 in words is "forty-two billion, nine hundred five million, five hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 7481 9433 14962 18866 29924 37732 59848 75464 119696 142139 150928 179227 239392 284278 301856 358454 568556 716908 1137112 1433816 2274224 2867632 4548448 5735264 70568273 141136546 282273092 564546184 1129092368 1340797187 2258184736 2681594374 5363188748 10726377496 21452754992 42905509984