Search a number
-
+
152324322304 = 2107119412053
BaseRepresentation
bin1000110111011100111…
…1001011010000000000
3112120011202002022122211
42031313033023100000
54443430011303204
6153550554511504
714001511243060
oct2156717132000
9476152068584
10152324322304
1159667121980
1225631135594
1311496c8c1bb
1475303513a0
153e67ba7804
hex23773cb400

152324322304 has 176 divisors, whose sum is σ = 380224780416. Its totient is φ = 59255193600.

The previous prime is 152324322281. The next prime is 152324322427. The reversal of 152324322304 is 403223423251.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74194942 + ... + 74196994.

Almost surely, 2152324322304 is an apocalyptic number.

152324322304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152324322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112390208).

152324322304 is an abundant number, since it is smaller than the sum of its proper divisors (227900458112).

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

152324322304 is a wasteful number, since it uses less digits than its factorization.

152324322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 152324322304 its reverse (403223423251), we get a palindrome (555547745555).

The spelling of 152324322304 in words is "one hundred fifty-two billion, three hundred twenty-four million, three hundred twenty-two thousand, three hundred four".