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152426612340 = 223252513373763
BaseRepresentation
bin1000110111110101010…
…1011000011001110100
3112120102212120012012200
42031331111120121310
54444132203043330
6154005051144500
714004162553542
oct2157525303164
9476385505180
10152426612340
11597099379a2
122565b445130
13114b2225152
14753db7ad92
153e71b60a60
hex237d558674

152426612340 has 72 divisors (see below), whose sum is σ = 464202936288. Its totient is φ = 40485144000.

The previous prime is 152426612297. The next prime is 152426612341. The reversal of 152426612340 is 43216624251.

152426612340 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 2 + 6 + 612 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152426612295 and 152426612304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152426612341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641702 + ... + 1732061.

It is an arithmetic number, because the mean of its divisors is an integer number (6447263004).

Almost surely, 2152426612340 is an apocalyptic number.

152426612340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152426612340 is an abundant number, since it is smaller than the sum of its proper divisors (311776323948).

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

152426612340 is a wasteful number, since it uses less digits than its factorization.

152426612340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374029 (or 3374024 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 152426612340 in words is "one hundred fifty-two billion, four hundred twenty-six million, six hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 7530 9036 11295 15060 22590 45180 3373763 6747526 10121289 13495052 16868815 20242578 30363867 33737630 40485156 50606445 60727734 67475260 101212890 121455468 151819335 202425780 303638670 607277340 846814513 1693629026 2540443539 3387258052 4234072565 5080887078 7621330617 8468145130 10161774156 12702217695 15242661234 16936290260 25404435390 30485322468 38106653085 50808870780 76213306170 152426612340