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93413421549 = 32719312517407
BaseRepresentation
bin101011011111111011…
…1111011000111101101
322221010010211111012200
41112333313323013231
53012302313442144
6110525153452113
76514604660610
oct1267767730755
9287103744180
1093413421549
1136686494238
121612bb71039
138a69067146
1447423a0177
15266ad85c69
hex15bfdfb1ed

93413421549 has 48 divisors (see below), whose sum is σ = 167558676480. Its totient is φ = 48938372640.

The previous prime is 93413421481. The next prime is 93413421571. The reversal of 93413421549 is 94512431439.

93413421549 is a `hidden beast` number, since 93 + 4 + 13 + 4 + 2 + 1 + 549 = 666.

It is not a de Polignac number, because 93413421549 - 29 = 93413421037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93413421449) 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, 1221597 + ... + 1295810.

It is an arithmetic number, because the mean of its divisors is an integer number (3490805760).

Almost surely, 293413421549 is an apocalyptic number.

It is an amenable number.

93413421549 is a deficient number, since it is larger than the sum of its proper divisors (74145254931).

93413421549 is a wasteful number, since it uses less digits than its factorization.

93413421549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517470 (or 2517467 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

It can be divided in two parts, 9341 and 3421549, that added together give a triangular number (3430890 = T2619).

The spelling of 93413421549 in words is "ninety-three billion, four hundred thirteen million, four hundred twenty-one thousand, five hundred forty-nine".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 589 651 1197 1767 1953 4123 5301 12369 37107 2517407 7552221 17621849 22656663 47830733 52865547 78039617 143492199 158596641 234118851 334815131 430476597 546277319 702356553 1004445393 1482752723 1638831957 3013336179 4448258169 4916495871 10379269061 13344774507 31137807183 93413421549