Search a number
-
+
152354323000 = 235311172335423
BaseRepresentation
bin1000110111100100000…
…1100111101000111000
3112120020211112111212201
42031321001213220320
54444010201314000
6153553545515544
714002324243465
oct2157101475070
9476224474781
10152354323000
1159682052940
122563b1a2bb4
13114a02645a9
14753432066c
153e6a63196a
hex2379067a38

152354323000 has 256 divisors, whose sum is σ = 429712957440. Its totient is φ = 49874176000.

The previous prime is 152354322959. The next prime is 152354323003. The reversal of 152354323000 is 323453251.

It is a self number, because there is not a number n which added to its sum of digits gives 152354323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152354323003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4283289 + ... + 4318711.

It is an arithmetic number, because the mean of its divisors is an integer number (1678566240).

Almost surely, 2152354323000 is an apocalyptic number.

152354323000 is a gapful number since it is divisible by the number (10) 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 152354323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214856478720).

152354323000 is an abundant number, since it is smaller than the sum of its proper divisors (277358634440).

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

152354323000 is a wasteful number, since it uses less digits than its factorization.

152354323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35495 (or 35481 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 152354323000 its reverse (323453251), we get a palindrome (152677776251).

The spelling of 152354323000 in words is "one hundred fifty-two billion, three hundred fifty-four million, three hundred twenty-three thousand".