Search a number
-
+
152308182377742 = 23271190749119281
BaseRepresentation
bin100010101000011000000011…
…000110110110010100001110
3201222021112001002211112021020
4202220120003012312110032
5124430404124142041432
61255533225115015010
744036621513224566
oct4250300306662416
9658245032745236
10152308182377742
11445915a03168a6
12150ba41a13a466
1366ca7a5199201
142987a809cbda6
151291d430de22c
hex8a86031b650e

152308182377742 has 32 divisors (see below), whose sum is σ = 305900741942784. Its totient is φ = 50555527747200.

The previous prime is 152308182377737. The next prime is 152308182377777. The reversal of 152308182377742 is 247773281803251.

It is a super-3 number, since 3×1523081823777423 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21458859 + ... + 27660422.

It is an arithmetic number, because the mean of its divisors is an integer number (9559398185712).

Almost surely, 2152308182377742 is an apocalyptic number.

152308182377742 is an abundant number, since it is smaller than the sum of its proper divisors (153592559565042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152308182377742 is a wasteful number, since it uses less digits than its factorization.

152308182377742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49121464.

The product of its (nonzero) digits is 31610880, while the sum is 60.

The spelling of 152308182377742 in words is "one hundred fifty-two trillion, three hundred eight billion, one hundred eighty-two million, three hundred seventy-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 271 542 813 1626 1907 3814 5721 11442 516797 1033594 1550391 3100782 49119281 98238562 147357843 294715686 13311325151 26622650302 39933975453 79867950906 93670468867 187340937734 281011406601 562022813202 25384697062957 50769394125914 76154091188871 152308182377742