Search a number
-
+
155719228896 = 253771123771
BaseRepresentation
bin1001000100000110010…
…1101101110111100000
3112212221100012110000000
42101001211231313200
510022403110311041
6155311511300000
714151603414660
oct2210145556740
9485840173000
10155719228896
1160049499500
122621a07a600
13118b842087a
1477731941a0
1540b5c55bb6
hex244196dde0

155719228896 has 1152 divisors, whose sum is σ = 601550530560. Its totient is φ = 38799129600.

The previous prime is 155719228883. The next prime is 155719228909. The reversal of 155719228896 is 698822917551.

It is an interprime number because it is at equal distance from previous prime (155719228883) and next prime (155719228909).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (21772800) is a multiple of the sum of its prime factors (168).

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 191 ways as a sum of consecutive naturals, for example, 2193228541 + ... + 2193228611.

It is an arithmetic number, because the mean of its divisors is an integer number (522179280).

Almost surely, 2155719228896 is an apocalyptic number.

155719228896 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 155719228896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300775265280).

155719228896 is an abundant number, since it is smaller than the sum of its proper divisors (445831301664).

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

155719228896 is an equidigital number, since it uses as much as digits as its factorization.

155719228896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 155719228896 in words is "one hundred fifty-five billion, seven hundred nineteen million, two hundred twenty-eight thousand, eight hundred ninety-six".