Search a number
-
+
73214148285 = 32517157960611
BaseRepresentation
bin100010000101111100…
…1110011111010111101
320222222102100002102200
41010023321303322331
52144420310221120
653344545142113
75201212664235
oct1041371637275
9228872302380
1073214148285
1129060529273
121223332a939
136b9a2cac45
143787844cc5
151d878a5e90
hex110be73ebd

73214148285 has 48 divisors (see below), whose sum is σ = 134456811840. Its totient is φ = 36726750720.

The previous prime is 73214148283. The next prime is 73214148311. The reversal of 73214148285 is 58284141237.

73214148285 is a `hidden beast` number, since 7 + 321 + 4 + 1 + 48 + 285 = 666.

It is not a de Polignac number, because 73214148285 - 21 = 73214148283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 73214148285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73214148281) 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, 1177630 + ... + 1238240.

It is an arithmetic number, because the mean of its divisors is an integer number (2801183580).

Almost surely, 273214148285 is an apocalyptic number.

It is an amenable number.

73214148285 is a deficient number, since it is larger than the sum of its proper divisors (61242663555).

73214148285 is a wasteful number, since it uses less digits than its factorization.

73214148285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62218 (or 62215 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 73214148285 in words is "seventy-three billion, two hundred fourteen million, one hundred forty-eight thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1579 4737 7895 14211 23685 26843 60611 71055 80529 134215 181833 241587 303055 402645 545499 909165 1030387 1207935 2727495 3091161 5151935 9273483 15455805 46367415 95704769 287114307 478523845 861342921 1435571535 1626981073 4306714605 4880943219 8134905365 14642829657 24404716095 73214148285