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99002787840 = 211355113617
BaseRepresentation
bin101110000110100000…
…1101010100000000000
3100110112200012201100000
41130031001222200000
53110224203202330
6113251541200000
710103244545265
oct1341501524000
9313480181300
1099002787840
1138a94546920
121722ba00000
13944a03a488
144b1283b26c
152896909560
hex170d06a800

99002787840 has 576 divisors, whose sum is σ = 388290127680. Its totient is φ = 23994040320.

The previous prime is 99002787811. The next prime is 99002787841. The reversal of 99002787840 is 4878720099.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99002787841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27369712 + ... + 27373328.

It is an arithmetic number, because the mean of its divisors is an integer number (674114805).

Almost surely, 299002787840 is an apocalyptic number.

99002787840 is a gapful number since it is divisible by the number (90) 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 99002787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194145063840).

99002787840 is an abundant number, since it is smaller than the sum of its proper divisors (289287339840).

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

99002787840 is a wasteful number, since it uses less digits than its factorization.

99002787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 99002787840 in words is "ninety-nine billion, two million, seven hundred eighty-seven thousand, eight hundred forty".