Search a number
-
+
153971701728 = 253133137107563
BaseRepresentation
bin1000111101100101101…
…1011011011111100000
3112201102112220212101120
42033121123123133200
510010313223423403
6154422243532240
714060363604405
oct2173133333740
9481375825346
10153971701728
115a332014479
1225a1098a080
131169a373620
14764905a2ac
154012614e53
hex23d96db7e0

153971701728 has 192 divisors, whose sum is σ = 461454723072. Its totient is φ = 44608112640.

The previous prime is 153971701717. The next prime is 153971701729. The reversal of 153971701728 is 827107179351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153971701729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1377675 + ... + 1485237.

It is an arithmetic number, because the mean of its divisors is an integer number (2403410016).

Almost surely, 2153971701728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153971701728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230727361536).

153971701728 is an abundant number, since it is smaller than the sum of its proper divisors (307483021344).

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

153971701728 is a wasteful number, since it uses less digits than its factorization.

153971701728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107657 (or 107649 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 51.

The spelling of 153971701728 in words is "one hundred fifty-three billion, nine hundred seventy-one million, seven hundred one thousand, seven hundred twenty-eight".