Search a number
-
+
135280271973 = 37211471780027
BaseRepresentation
bin111110111111101010…
…1010010001001100101
3110221011220200212001110
41331333111102021211
54204023222200343
6142051421415233
712526241224200
oct1757725221145
9427156625043
10135280271973
1152410206670
122227510a519
13c9abb14812
146794886937
1537bb6cd833
hex1f7f552265

135280271973 has 48 divisors (see below), whose sum is σ = 233767517184. Its totient is φ = 68780204640.

The previous prime is 135280271957. The next prime is 135280271999. The reversal of 135280271973 is 379172082531.

It is not a de Polignac number, because 135280271973 - 24 = 135280271957 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135280271923) 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, 814015 + ... + 966012.

It is an arithmetic number, because the mean of its divisors is an integer number (4870156608).

Almost surely, 2135280271973 is an apocalyptic number.

It is an amenable number.

135280271973 is a deficient number, since it is larger than the sum of its proper divisors (98487245211).

135280271973 is a wasteful number, since it uses less digits than its factorization.

135280271973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780102 (or 1780095 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

It can be divided in two parts, 135280 and 271973, that added together give a triangular number (407253 = T902).

The spelling of 135280271973 in words is "one hundred thirty-five billion, two hundred eighty million, two hundred seventy-one thousand, nine hundred seventy-three".

Divisors: 1 3 7 11 21 33 47 49 77 141 147 231 329 517 539 987 1551 1617 2303 3619 6909 10857 25333 75999 1780027 5340081 12460189 19580297 37380567 58740891 83661269 87221323 137062079 250983807 261663969 411186237 585628883 920273959 959434553 1756886649 2760821877 2878303659 4099402181 6441917713 12298206543 19325753139 45093423991 135280271973