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42917835408 = 2437218247379
BaseRepresentation
bin100111111110000110…
…100011001010010000
311002210000110221012120
4213332012203022100
51200343431213113
631414410054240
73046354403400
oct477606431220
9132700427176
1042917835408
1117223aa9a68
12839911a380
13407c7293a6
142111d06800
1511b2c4aa23
hex9fe1a3290

42917835408 has 60 divisors (see below), whose sum is σ = 128972481840. Its totient is φ = 12262238016.

The previous prime is 42917835391. The next prime is 42917835437. The reversal of 42917835408 is 80453871924.

It is a happy number.

It is a super-2 number, since 2×429178354082 (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 9121338 + ... + 9126041.

It is an arithmetic number, because the mean of its divisors is an integer number (2149541364).

Almost surely, 242917835408 is an apocalyptic number.

42917835408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42917835408 is an abundant number, since it is smaller than the sum of its proper divisors (86054646432).

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

42917835408 is a wasteful number, since it uses less digits than its factorization.

42917835408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18247404 (or 18247391 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 42917835408 in words is "forty-two billion, nine hundred seventeen million, eight hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 18247379 36494758 54742137 72989516 109484274 127731653 145979032 218968548 255463306 291958064 383194959 437937096 510926612 766389918 875874192 894121571 1021853224 1532779836 1788243142 2043706448 2682364713 3065559672 3576486284 5364729426 6131119344 7152972568 10729458852 14305945136 21458917704 42917835408