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152132262150 = 235211247737223
BaseRepresentation
bin1000110110101111001…
…0100001100100000110
3112112200100200122122210
42031223302201210012
54443031324342100
6153515534204250
713663656614661
oct2155362414406
9475610618583
10152132262150
1159578772280
1225598953686
1311466254b3b
147512a386d8
153e55dbac50
hex236bca1906

152132262150 has 96 divisors (see below), whose sum is σ = 411764145408. Its totient is φ = 36864668800.

The previous prime is 152132262133. The next prime is 152132262151. The reversal of 152132262150 is 51262231251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152132262151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4068439 + ... + 4105661.

It is an arithmetic number, because the mean of its divisors is an integer number (4289209848).

Almost surely, 2152132262150 is an apocalyptic number.

152132262150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152132262150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205882072704).

152132262150 is an abundant number, since it is smaller than the sum of its proper divisors (259631883258).

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

152132262150 is a wasteful number, since it uses less digits than its factorization.

152132262150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39726 (or 39721 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 152132262150 in words is "one hundred fifty-two billion, one hundred thirty-two million, two hundred sixty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 2477 4954 7431 12385 14862 24770 27247 37155 37223 54494 61925 74310 74446 81741 111669 123850 136235 163482 185775 186115 223338 272470 371550 372230 408705 409453 558345 681175 817410 818906 930575 1116690 1228359 1362350 1861150 2043525 2047265 2456718 2791725 4087050 4094530 5583450 6141795 10236325 12283590 20472650 30708975 61417950 92201371 184402742 276604113 461006855 553208226 922013710 1014215081 1383020565 2028430162 2305034275 2766041130 3042645243 4610068550 5071075405 6085290486 6915102825 10142150810 13830205650 15213226215 25355377025 30426452430 50710754050 76066131075 152132262150