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1993102293 = 372139831061
BaseRepresentation
bin111011011001100…
…0101001111010101
312010220101002100110
41312303011033111
513040213233133
6525435033233
7100251042600
oct16663051725
95126332313
101993102293
11933066286
1247759b819
13259c00890
1414c9c1337
15b9e9dc63
hex76cc53d5

1993102293 has 48 divisors (see below), whose sum is σ = 3335665536. Its totient is φ = 1049247360.

The previous prime is 1993102289. The next prime is 1993102339. The reversal of 1993102293 is 3922013991.

It is not a de Polignac number, because 1993102293 - 22 = 1993102289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993102093) 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, 1877983 + ... + 1879043.

It is an arithmetic number, because the mean of its divisors is an integer number (69493032).

Almost surely, 21993102293 is an apocalyptic number.

1993102293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1993102293 is a deficient number, since it is larger than the sum of its proper divisors (1342563243).

1993102293 is a wasteful number, since it uses less digits than its factorization.

1993102293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 1993102293 is about 44644.1742335996. The cubic root of 1993102293 is about 1258.4709538512.

The spelling of 1993102293 in words is "one billion, nine hundred ninety-three million, one hundred two thousand, two hundred ninety-three".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 983 1061 1911 2949 3183 6881 7427 12779 13793 20643 22281 38337 41379 48167 51989 89453 96551 144501 155967 268359 289653 626171 675857 1042963 1878513 2027571 3128889 7300741 13558519 21902223 40675557 51105187 94909633 153315561 284728899 664367431 1993102293