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993978135 = 3551994111
BaseRepresentation
bin111011001111101…
…110011100010111
32120021100022200000
4323033232130113
54013424300020
6242344222343
733426450303
oct7317563427
92507308600
10993978135
11470090537
12238a6a9b3
1312ac0c257
1496020d03
155c3e2090
hex3b3ee717

993978135 has 48 divisors (see below), whose sum is σ = 1796121600. Its totient is φ = 527329440.

The previous prime is 993978127. The next prime is 993978157. The reversal of 993978135 is 531879399.

It is not a de Polignac number, because 993978135 - 23 = 993978127 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239730 + ... + 243840.

It is an arithmetic number, because the mean of its divisors is an integer number (37419200).

Almost surely, 2993978135 is an apocalyptic number.

993978135 is a deficient number, since it is larger than the sum of its proper divisors (802143465).

993978135 is a wasteful number, since it uses less digits than its factorization.

993978135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4318 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 993978135 is about 31527.4187811181. The cubic root of 993978135 is about 997.9886689262.

The spelling of 993978135 in words is "nine hundred ninety-three million, nine hundred seventy-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 199 243 405 597 995 1215 1791 2985 4111 5373 8955 12333 16119 20555 26865 36999 48357 61665 80595 110997 184995 241785 332991 554985 818089 998973 1664955 2454267 4090445 4994865 7362801 12271335 22088403 36814005 66265209 110442015 198795627 331326045 993978135