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993003521052 = 2238310319350153
BaseRepresentation
bin11100111001100111001…
…11110100010000011100
310111221010010022110200010
432130303213310100130
5112232132400133202
62040102435403220
7131512360443144
oct16346347642034
93457103273603
10993003521052
11353148666794
1214054aa53510
137284192647a
14360c1165924
151ac6c3e576c
hexe7339f441c

993003521052 has 96 divisors (see below), whose sum is σ = 2380005508608. Its totient is φ = 322153979904.

The previous prime is 993003521051. The next prime is 993003521053. The reversal of 993003521052 is 250125300399.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (993003521051) and next prime (993003521053).

It is a self number, because there is not a number n which added to its sum of digits gives 993003521052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993003521051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19774408 + ... + 19824560.

It is an arithmetic number, because the mean of its divisors is an integer number (24791724048).

Almost surely, 2993003521052 is an apocalyptic number.

It is an amenable number.

993003521052 is an abundant number, since it is smaller than the sum of its proper divisors (1387001987556).

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

993003521052 is a wasteful number, since it uses less digits than its factorization.

993003521052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50539 (or 50537 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The spelling of 993003521052 in words is "nine hundred ninety-three billion, three million, five hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 83 103 166 193 206 249 309 332 386 412 498 579 618 772 996 1158 1236 2316 8549 16019 17098 19879 25647 32038 34196 39758 48057 50153 51294 59637 64076 79516 96114 100306 102588 119274 150459 192228 200612 238548 300918 601836 1649957 3299914 4162699 4949871 5165759 6599828 8325398 9679529 9899742 10331518 12488097 15497277 16650796 19359058 19799484 20663036 24976194 29038587 30994554 38718116 49952388 58077174 61989108 116154348 428757997 803400907 857515994 996991487 1286273991 1606801814 1715031988 1993982974 2410202721 2572547982 2990974461 3213603628 3987965948 4820405442 5145095964 5981948922 9640810884 11963897844 82750293421 165500586842 248250880263 331001173684 496501760526 993003521052