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993007917 = 34112711427
BaseRepresentation
bin111011001100000…
…001100100101101
32120012112000210000
4323030001210231
54013202223132
6242311334513
733415266546
oct7314014455
92505460700
10993007917
1146a588600
12238681439
1312a95c765
1495c4b4cd
155c29e87c
hex3b30192d

993007917 has 60 divisors (see below), whose sum is σ = 1654617888. Its totient is φ = 592930800.

The previous prime is 993007913. The next prime is 993007949. The reversal of 993007917 is 719700399.

It is not a de Polignac number, because 993007917 - 22 = 993007913 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993007913) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 695158 + ... + 696584.

Almost surely, 2993007917 is an apocalyptic number.

It is an amenable number.

993007917 is a deficient number, since it is larger than the sum of its proper divisors (661609971).

993007917 is a wasteful number, since it uses less digits than its factorization.

993007917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 107163, while the sum is 45.

The square root of 993007917 is about 31512.0281321276. The cubic root of 993007917 is about 997.6638523306.

The spelling of 993007917 in words is "nine hundred ninety-three million, seven thousand, nine hundred seventeen".

Divisors: 1 3 9 11 27 33 71 81 99 121 213 297 363 639 781 891 1089 1427 1917 2343 3267 4281 5751 7029 8591 9801 12843 15697 21087 25773 38529 47091 63261 77319 101317 115587 141273 172667 231957 303951 423819 518001 695871 911853 1114487 1271457 1554003 2735559 3343461 4662009 8206677 10030383 12259357 13986027 30091149 36778071 90273447 110334213 331002639 993007917