Search a number
-
+
155099302225920 = 21138513311571
BaseRepresentation
bin100011010000111111011110…
…110100000110100000000000
3202100011100102001020200000000
4203100333132310012200000
5130312121332332212140
61305511345200000000
744445361203413343
oct4320773664064000
9670140361220000
10155099302225920
1145468276748928
121548b34a600000
136870a559cc730
142a42bbc2a845a
1512de74e9a7a30
hex8d0fded06800

155099302225920 has 1728 divisors, whose sum is σ = 604119767771520. Its totient is φ = 37988882841600.

The previous prime is 155099302225913. The next prime is 155099302225997. The reversal of 155099302225920 is 29522203990551.

155099302225920 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 99 + 302 + 225 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271627499235 + ... + 271627499805.

It is an arithmetic number, because the mean of its divisors is an integer number (349606347090).

Almost surely, 2155099302225920 is an apocalyptic number.

155099302225920 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 155099302225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302059883885760).

155099302225920 is an abundant number, since it is smaller than the sum of its proper divisors (449020465545600).

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

155099302225920 is an frugal number, since it uses more digits than its factorization.

155099302225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 155099302225920 in words is "one hundred fifty-five trillion, ninety-nine billion, three hundred two million, two hundred twenty-five thousand, nine hundred twenty".