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490191588040 = 235721165934501
BaseRepresentation
bin1110010001000011011…
…00100000101011001000
31201212021021221202111111
413020201230200223020
531012403021304130
61013105122540104
750262255515200
oct7104154405310
91655237852444
10490191588040
11179986410410
127b004207634
13372c0060b0b
1419a226d3400
15cb3e9bc02a
hex7221b20ac8

490191588040 has 192 divisors, whose sum is σ = 1401802459200. Its totient is φ = 152550720000.

The previous prime is 490191587987. The next prime is 490191588067. The reversal of 490191588040 is 40885191094.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14190790 + ... + 14225290.

It is an arithmetic number, because the mean of its divisors is an integer number (7301054475).

Almost surely, 2490191588040 is an apocalyptic number.

490191588040 is a gapful number since it is divisible by the number (40) 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 490191588040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700901229600).

490191588040 is an abundant number, since it is smaller than the sum of its proper divisors (911610871160).

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

490191588040 is a wasteful number, since it uses less digits than its factorization.

490191588040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35196 (or 35185 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 490191588040 in words is "four hundred ninety billion, one hundred ninety-one million, five hundred eighty-eight thousand, forty".