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42498049008 = 2436131674583
BaseRepresentation
bin100111100101000101…
…001100001111110000
311001200202120120112010
4213211011030033300
51144014000032013
631305012402520
73033066312342
oct474505141760
9131622516463
1042498049008
111702904a258
1282a0616440
13401377a97c
1420b2271292
15118ae797c3
hex9e514c3f0

42498049008 has 80 divisors (see below), whose sum is σ = 111645997056. Its totient is φ = 13926347520.

The previous prime is 42498048991. The next prime is 42498049039. The reversal of 42498049008 is 80094089424.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 9270685 + ... + 9275267.

Almost surely, 242498049008 is an apocalyptic number.

42498049008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42498049008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55822998528).

42498049008 is an abundant number, since it is smaller than the sum of its proper divisors (69147948048).

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

42498049008 is a wasteful number, since it uses less digits than its factorization.

42498049008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 42498049008 in words is "forty-two billion, four hundred ninety-eight million, forty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 3167 4583 6334 9166 9501 12668 13749 18332 19002 25336 27498 36664 38004 50672 54996 73328 76008 109992 152016 193187 219984 279563 386374 559126 579561 772748 838689 1118252 1159122 1545496 1677378 2236504 2318244 3090992 3354756 4473008 4636488 6709512 9272976 13419024 14514361 29028722 43543083 58057444 87086166 116114888 174172332 232229776 348344664 696689328 885376021 1770752042 2656128063 3541504084 5312256126 7083008168 10624512252 14166016336 21249024504 42498049008