Search a number
-
+
153302300232336 = 24331771734027493
BaseRepresentation
bin100010110110110101111001…
…001001100000101010010000
3202002210120000212222000012000
4202312311321021200222100
5130043201102324413321
61302014034322434000
744201503624452633
oct4266657111405220
9662716025860160
10153302300232336
114493515a9978a2
121523b01a202900
136770463921528
1429bdc29b43c1a
1512acb2824c826
hex8b6d79260a90

153302300232336 has 320 divisors, whose sum is σ = 478953452874240. Its totient is φ = 46767881502720.

The previous prime is 153302300232299. The next prime is 153302300232337. The reversal of 153302300232336 is 633232003203351.

153302300232336 is a `hidden beast` number, since 1 + 5 + 3 + 302 + 300 + 23 + 23 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 153302300232336.

It is not an unprimeable number, because it can be changed into a prime (153302300232337) 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, 36050206 + ... + 40077698.

It is an arithmetic number, because the mean of its divisors is an integer number (1496729540232).

Almost surely, 2153302300232336 is an apocalyptic number.

153302300232336 is a gapful number since it is divisible by the number (16) 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 153302300232336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239476726437120).

153302300232336 is an abundant number, since it is smaller than the sum of its proper divisors (325651152641904).

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

153302300232336 is a wasteful number, since it uses less digits than its factorization.

153302300232336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027671 (or 4027659 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 36.

Adding to 153302300232336 its reverse (633232003203351), we get a palindrome (786534303435687).

The spelling of 153302300232336 in words is "one hundred fifty-three trillion, three hundred two billion, three hundred million, two hundred thirty-two thousand, three hundred thirty-six".