Search a number
-
+
158224727456640 = 273251319829134153
BaseRepresentation
bin100011111110011110010000…
…101011001011101110000000
3202202020010200022012211101200
4203332132100223023232000
5131214323220212103030
61320303234125301200
745220234150505145
oct4376362053135600
9682203608184350
10158224727456640
1146462803814879
12158b5019104800
136a396b26ac090
142b10190c5a3cc
151345bc5602d60
hex8fe790acbb80

158224727456640 has 768 divisors, whose sum is σ = 620118279144000. Its totient is φ = 36852966752256.

The previous prime is 158224727456623. The next prime is 158224727456651. The reversal of 158224727456640 is 46654727422851.

158224727456640 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 2 + 4 + 7 + 27 + 4 + 566 + 40 = 666.

158224727456640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179367804 + ... + 1179501956.

Almost surely, 2158224727456640 is an apocalyptic number.

158224727456640 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 158224727456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310059139572000).

158224727456640 is an abundant number, since it is smaller than the sum of its proper divisors (461893551687360).

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

158224727456640 is a wasteful number, since it uses less digits than its factorization.

158224727456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135039 (or 135024 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 158224727456640 in words is "one hundred fifty-eight trillion, two hundred twenty-four billion, seven hundred twenty-seven million, four hundred fifty-six thousand, six hundred forty".