Search a number
-
+
84693989789433 = 32109173661754981
BaseRepresentation
bin10011010000011101011011…
…001011010000111011111001
3102002212122222202202210100200
4103100131123023100323321
542100111242341230213
6500043514244152413
723560640010034263
oct2320353313207371
9362778882683320
1084693989789433
1124a935792a5232
1295ba319998709
1338347bbb9546b
1416cb2d4cccb33
159bd141ee8273
hex4d075b2d0ef9

84693989789433 has 48 divisors (see below), whose sum is σ = 124359759260880. Its totient is φ = 55537053580800.

The previous prime is 84693989789419. The next prime is 84693989789447. The reversal of 84693989789433 is 33498798939648.

84693989789433 is a `hidden beast` number, since 8 + 4 + 6 + 9 + 3 + 9 + 8 + 97 + 89 + 433 = 666.

It is an interprime number because it is at equal distance from previous prime (84693989789419) and next prime (84693989789447).

It can be written as a sum of positive squares in 8 ways, for example, as 8709504708969 + 75984485080464 = 2951187^2 + 8716908^2 .

It is not a de Polignac number, because 84693989789433 - 26 = 84693989789369 is a prime.

It is a super-2 number, since 2×846939897894332 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84693989789413) 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, 111802803 + ... + 112557783.

It is an arithmetic number, because the mean of its divisors is an integer number (2590828317935).

Almost surely, 284693989789433 is an apocalyptic number.

It is an amenable number.

84693989789433 is a deficient number, since it is larger than the sum of its proper divisors (39665769471447).

84693989789433 is a wasteful number, since it uses less digits than its factorization.

84693989789433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755930 (or 755927 counting only the distinct ones).

The product of its digits is 60949905408, while the sum is 90.

The spelling of 84693989789433 in words is "eighty-four trillion, six hundred ninety-three billion, nine hundred eighty-nine million, seven hundred eighty-nine thousand, four hundred thirty-three".

Divisors: 1 3 9 109 173 327 519 661 981 1557 1983 5949 18857 56571 72049 114353 169713 216147 343059 648441 754981 1029177 2264943 6794829 12464477 37393431 82292929 112180293 130611713 246878787 391835139 499042441 740636361 1175505417 1497127323 4491381969 14236676717 42710030151 54395626069 86334342293 128130090453 163186878207 259003026879 489560634621 777009080637 9410443309937 28231329929811 84693989789433