Search a number
-
+
155320735028220 = 22365331110929021
BaseRepresentation
bin100011010100001101101101…
…001111001101001111111100
3202100221111222002010112000000
4203110031231033031033330
5130324233331131400340
61310201205521234300
744500360415236416
oct4324155517151774
9670844862115000
10155320735028220
11455431767a1683
1215506247a92990
1368888b44bb638
142a4d7c6a819b6
1512e53ae86bd30
hex8d436d3cd3fc

155320735028220 has 336 divisors, whose sum is σ = 490973274620640. Its totient is φ = 41255073446400.

The previous prime is 155320735028209. The next prime is 155320735028227. The reversal of 155320735028220 is 22820537023551.

155320735028220 is a `hidden beast` number, since 1 + 5 + 53 + 2 + 0 + 7 + 350 + 28 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155320735028227) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5351997310 + ... + 5352026330.

It is an arithmetic number, because the mean of its divisors is an integer number (1461229983990).

Almost surely, 2155320735028220 is an apocalyptic number.

155320735028220 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 155320735028220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245486637310320).

155320735028220 is an abundant number, since it is smaller than the sum of its proper divisors (335652539592420).

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

155320735028220 is a wasteful number, since it uses less digits than its factorization.

155320735028220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30488 (or 30471 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 155320735028220 in words is "one hundred fifty-five trillion, three hundred twenty billion, seven hundred thirty-five million, twenty-eight thousand, two hundred twenty".