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993513314088 = 233213798796029
BaseRepresentation
bin11100111010100100000…
…00100001011100101000
310111222102122120122020200
432131102000201130220
5112234203402022323
62040225210152200
7131531120555211
oct16352200413450
93458378518220
10993513314088
1135338a401849
12140671722660
13728c3429b59
143612cb4a408
151ac9c045443
hexe752021728

993513314088 has 24 divisors (see below), whose sum is σ = 2690765225850. Its totient is φ = 331171104672.

The previous prime is 993513314069. The next prime is 993513314089. The reversal of 993513314088 is 880413315399.

993513314088 is a `hidden beast` number, since 9 + 9 + 3 + 513 + 3 + 1 + 40 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 687502988964 + 306010325124 = 829158^2 + 553182^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (993513314089) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6899397943 + ... + 6899398086.

Almost surely, 2993513314088 is an apocalyptic number.

It is an amenable number.

993513314088 is an abundant number, since it is smaller than the sum of its proper divisors (1697251911762).

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

993513314088 is a wasteful number, since it uses less digits than its factorization.

993513314088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798796041 (or 13798796034 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 993513314088 in words is "nine hundred ninety-three billion, five hundred thirteen million, three hundred fourteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13798796029 27597592058 41396388087 55195184116 82792776174 110390368232 124189164261 165585552348 248378328522 331171104696 496756657044 993513314088