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159138614628 = 223376110913163
BaseRepresentation
bin1001010000110101100…
…1101000110101100100
3120012202122101020102000
42110031121220311210
510101403441132003
6201035100445300
714332413622410
oct2241531506544
9505678336360
10159138614628
1161543665624
1226a13249830
1312011973336
1479b9369d40
15421603c1a3
hex250d668d64

159138614628 has 192 divisors, whose sum is σ = 479842621440. Its totient is φ = 44667676800.

The previous prime is 159138614627. The next prime is 159138614641. The reversal of 159138614628 is 826416831951.

It is a happy number.

159138614628 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 3 + 8 + 6 + 1 + 4 + 628 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (159138614627) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 50310975 + ... + 50314137.

It is an arithmetic number, because the mean of its divisors is an integer number (2499180320).

Almost surely, 2159138614628 is an apocalyptic number.

159138614628 is a gapful number since it is divisible by the number (18) 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 159138614628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239921310720).

159138614628 is an abundant number, since it is smaller than the sum of its proper divisors (320704006812).

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

159138614628 is a wasteful number, since it uses less digits than its factorization.

159138614628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4327 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 159138614628 in words is "one hundred fifty-nine billion, one hundred thirty-eight million, six hundred fourteen thousand, six hundred twenty-eight".