Search a number
-
+
5510312145 = 345137011493
BaseRepresentation
bin1010010000111000…
…01011000011010001
3112020000121212020000
411020130023003101
542241114442040
62310441040213
7253356610662
oct51034130321
915200555200
105510312145
112378478088
121099486069
1369a7b4640
143a3b7d369
15223b5a130
hex14870b0d1

5510312145 has 80 divisors (see below), whose sum is σ = 10659881232. Its totient is φ = 2707084800.

The previous prime is 5510312141. The next prime is 5510312177. The reversal of 5510312145 is 5412130155.

5510312145 is a `hidden beast` number, since 5 + 510 + 3 + 1 + 2 + 145 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118200384 + 5392111761 = 10872^2 + 73431^2 .

It is not a de Polignac number, because 5510312145 - 22 = 5510312141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5510312141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3690019 + ... + 3691511.

Almost surely, 25510312145 is an apocalyptic number.

It is an amenable number.

5510312145 is a deficient number, since it is larger than the sum of its proper divisors (5149569087).

5510312145 is a wasteful number, since it uses less digits than its factorization.

5510312145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5510312145 is about 74231.4767804063. The cubic root of 5510312145 is about 1766.2766747834.

The spelling of 5510312145 in words is "five billion, five hundred ten million, three hundred twelve thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 701 1053 1493 1755 2103 3505 4479 5265 6309 7465 9113 10515 13437 18927 19409 22395 27339 31545 40311 45565 56781 58227 67185 82017 94635 97045 120933 136695 174681 201555 246051 283905 291135 410085 524043 604665 738153 873405 1046593 1230255 1572129 2620215 3139779 3690765 5232965 7860645 9419337 13605709 15698895 28258011 40817127 47096685 68028545 84774033 122451381 141290055 204085635 367354143 423870165 612256905 1102062429 1836770715 5510312145