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990566162040 = 2335721319739343
BaseRepresentation
bin11100110101000100101…
…10000001111001111000
310111200211020222210200010
432122202112001321320
5112212134414141130
62035020530341520
7131365103311200
oct16324226017170
93450736883603
10990566162040
113521078578a4
1213bb8a72a8a0
137254398a0c0
1435d2d57d400
151ab784400b0
hexe6a2581e78

990566162040 has 768 divisors, whose sum is σ = 3972829593600. Its totient is φ = 195265437696.

The previous prime is 990566162011. The next prime is 990566162057. The reversal of 990566162040 is 40261665099.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106017609 + ... + 106026951.

It is an arithmetic number, because the mean of its divisors is an integer number (5172955200).

Almost surely, 2990566162040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990566162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986414796800).

990566162040 is an abundant number, since it is smaller than the sum of its proper divisors (2982263431560).

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

990566162040 is a wasteful number, since it uses less digits than its factorization.

990566162040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9476 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 990566162040 in words is "nine hundred ninety billion, five hundred sixty-six million, one hundred sixty-two thousand, forty".