Search a number
-
+
155417716120 = 23519120342633
BaseRepresentation
bin1001000010111110011…
…1100010010110011000
3112212011022212000020011
42100233213202112120
510021243413403440
6155221541011304
714141252534662
oct2205747422630
9485138760204
10155417716120
115aa04281497
12261550b3b34
131186ab13344
147745109532
1540995489ea
hex242f9e2598

155417716120 has 32 divisors (see below), whose sum is σ = 351520715520. Its totient is φ = 61841601280.

The previous prime is 155417716039. The next prime is 155417716121. The reversal of 155417716120 is 21617714551.

It is a happy number.

155417716120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155417716121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10163677 + ... + 10178956.

It is an arithmetic number, because the mean of its divisors is an integer number (10985022360).

Almost surely, 2155417716120 is an apocalyptic number.

155417716120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155417716120 is an abundant number, since it is smaller than the sum of its proper divisors (196102999400).

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

155417716120 is a wasteful number, since it uses less digits than its factorization.

155417716120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20342835 (or 20342831 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 155417716120 in words is "one hundred fifty-five billion, four hundred seventeen million, seven hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 191 382 764 955 1528 1910 3820 7640 20342633 40685266 81370532 101713165 162741064 203426330 406852660 813705320 3885442903 7770885806 15541771612 19427214515 31083543224 38854429030 77708858060 155417716120