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63220158340 = 22529937116329
BaseRepresentation
bin111010111000001101…
…110000111110000100
320001011220212210112221
4322320031300332010
52013433330031330
645013135222124
74365440323303
oct727015607604
9201156783487
1063220158340
11248a2149749
1210304377944
135c66936221
1430ba40843a
1519a02d3b7a
hexeb8370f84

63220158340 has 48 divisors (see below), whose sum is σ = 137488100400. Its totient is φ = 24389793792.

The previous prime is 63220158317. The next prime is 63220158359. The reversal of 63220158340 is 4385102236.

63220158340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31270464 + 63188887876 = 5592^2 + 251374^2 .

63220158340 is a modest number, since divided by 158340 gives 63220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 63220158296 and 63220158305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485296 + ... + 601624.

It is an arithmetic number, because the mean of its divisors is an integer number (2864335425).

Almost surely, 263220158340 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 63220158340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68744050200).

63220158340 is an abundant number, since it is smaller than the sum of its proper divisors (74267942060).

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

63220158340 is a wasteful number, since it uses less digits than its factorization.

63220158340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117304 (or 117302 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 63220158340 in words is "sixty-three billion, two hundred twenty million, one hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 937 1874 3748 4685 9370 18740 27173 54346 108692 116329 135865 232658 271730 465316 543460 581645 1163290 2326580 3373541 6747082 13494164 16867705 33735410 67470820 109000273 218000546 436001092 545001365 1090002730 2180005460 3161007917 6322015834 12644031668 15805039585 31610079170 63220158340