Search a number
-
+
152061020727 = 37113175728051
BaseRepresentation
bin1000110110011110001…
…0110000101000110111
3112112111101122012210120
42031213202300220313
54442410110130402
6153504511223023
713662133231020
oct2154742605067
9475441565716
10152061020727
1159541533570
1225578b17a73
1311454570255
1475073b1c47
153e4e9e73bc
hex23678b0a37

152061020727 has 64 divisors (see below), whose sum is σ = 261284855808. Its totient is φ = 76340880000.

The previous prime is 152061020693. The next prime is 152061020731. The reversal of 152061020727 is 727020160251.

152061020727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152061020727 - 26 = 152061020663 is a prime.

It is a super-4 number, since 4×1520610207274 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152061020737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5406852 + ... + 5434902.

It is an arithmetic number, because the mean of its divisors is an integer number (4082575872).

Almost surely, 2152061020727 is an apocalyptic number.

152061020727 is a deficient number, since it is larger than the sum of its proper divisors (109223835081).

152061020727 is a wasteful number, since it uses less digits than its factorization.

152061020727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28860.

The product of its (nonzero) digits is 11760, while the sum is 33.

Adding to 152061020727 its reverse (727020160251), we get a palindrome (879081180978).

The spelling of 152061020727 in words is "one hundred fifty-two billion, sixty-one million, twenty thousand, seven hundred twenty-seven".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 651 757 1023 2271 2387 5299 7161 8327 15897 23467 24981 28051 58289 70401 84153 164269 174867 196357 258137 308561 492807 589071 774411 869581 925683 1806959 2159927 2608743 5420877 6087067 6479781 9565391 18261201 21234607 28696173 63703821 66957737 148642249 200873211 233580677 445926747 658272817 700742031 1635064739 1974818451 4607909719 4905194217 7241000987 13823729157 21723002961 50687006909 152061020727