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993346630551 = 3211231972214479
BaseRepresentation
bin11100111010010000001…
…00101011001110010111
310111222000000221020102100
432131020010223032113
5112233333214134201
62040200453413143
7131524025021322
oct16351004531627
93458000836370
10993346630551
11353304304a60
1214062593a1b3
1372897a39242
143611495b7b9
151ac8c5bc886
hexe74812b397

993346630551 has 48 divisors (see below), whose sum is σ = 1641620597760. Its totient is φ = 572929748160.

The previous prime is 993346630537. The next prime is 993346630603. The reversal of 993346630551 is 155036643399.

993346630551 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 993346630551 - 26 = 993346630487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993346630501) 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, 658671 + ... + 1555808.

It is an arithmetic number, because the mean of its divisors is an integer number (34200429120).

Almost surely, 2993346630551 is an apocalyptic number.

993346630551 is a deficient number, since it is larger than the sum of its proper divisors (648273967209).

993346630551 is a wasteful number, since it uses less digits than its factorization.

993346630551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214716 (or 2214713 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 993346630551 in words is "nine hundred ninety-three billion, three hundred forty-six million, six hundred thirty thousand, five hundred fifty-one".

Divisors: 1 3 9 11 23 33 69 99 197 207 253 591 759 1773 2167 2277 4531 6501 13593 19503 40779 49841 149523 448569 2214479 6643437 19930311 24359269 50933017 73077807 152799051 219233421 436252363 458397153 560263187 1308757089 1680789561 3926271267 4798775993 5042368683 10033804349 14396327979 30101413047 43188983937 90304239141 110371847839 331115543517 993346630551