Search a number
-
+
153481015800 = 2332527195571151
BaseRepresentation
bin1000111011110000101…
…1100111000111111000
3112200011100121102211200
42032330023213013320
510003312120001200
6154301434454200
714042255052240
oct2167413470770
9480140542750
10153481015800
115a100039912
12258b4594360
131161c7ccb18
1475ddc0ab20
153ed44db800
hex23bc2e71f8

153481015800 has 576 divisors, whose sum is σ = 621731635200. Its totient is φ = 33146496000.

The previous prime is 153481015777. The next prime is 153481015801. The reversal of 153481015800 is 8510184351.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153481015801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133345225 + ... + 133346375.

It is an arithmetic number, because the mean of its divisors is an integer number (1079395200).

Almost surely, 2153481015800 is an apocalyptic number.

153481015800 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 153481015800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310865817600).

153481015800 is an abundant number, since it is smaller than the sum of its proper divisors (468250619400).

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

153481015800 is a wasteful number, since it uses less digits than its factorization.

153481015800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 153481015800 in words is "one hundred fifty-three billion, four hundred eighty-one million, fifteen thousand, eight hundred".