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990493621488 = 2433753139173257
BaseRepresentation
bin11100110100111100000…
…01010011110011110000
310111200122012111100202000
432122132001103303300
5112212012331341423
62035005415454000
7131363232603540
oct16323601236360
93450565440660
10990493621488
1135207a911028
1213bb6a387300
137253193c0b7
1435d23a99320
151ab71db1843
hexe69e053cf0

990493621488 has 640 divisors, whose sum is σ = 3366684518400. Its totient is φ = 273001218048.

The previous prime is 990493621483. The next prime is 990493621499. The reversal of 990493621488 is 884126394099.

990493621488 is a `hidden beast` number, since 9 + 9 + 0 + 4 + 93 + 62 + 1 + 488 = 666.

990493621488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9904936214882 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990493621483) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3854060656 + ... + 3854060912.

It is an arithmetic number, because the mean of its divisors is an integer number (5260444560).

Almost surely, 2990493621488 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 990493621488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683342259200).

990493621488 is an abundant number, since it is smaller than the sum of its proper divisors (2376190896912).

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

990493621488 is a wasteful number, since it uses less digits than its factorization.

990493621488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 990493621488 in words is "nine hundred ninety billion, four hundred ninety-three million, six hundred twenty-one thousand, four hundred eighty-eight".