Search a number
-
+
158896005642 = 23411598916981
BaseRepresentation
bin1001001111111011110…
…0001010001000001010
3120012010201212102110000
42103332330022020022
510100404334140032
6200555032503430
714323406522523
oct2237674121012
9505121772400
10158896005642
116142971a930
1226965b4ab76
1311ca361ab1a
14799505584a
1541eeab7e7c
hex24fef0a20a

158896005642 has 160 divisors (see below), whose sum is σ = 399457396800. Its totient is φ = 46799596800.

The previous prime is 158896005641. The next prime is 158896005649. The reversal of 158896005642 is 246500698851.

158896005642 is a `hidden beast` number, since 1 + 588 + 9 + 6 + 0 + 0 + 56 + 4 + 2 = 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 (158896005641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9348792 + ... + 9365772.

It is an arithmetic number, because the mean of its divisors is an integer number (2496608730).

Almost surely, 2158896005642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158896005642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199728698400).

158896005642 is an abundant number, since it is smaller than the sum of its proper divisors (240561391158).

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

158896005642 is a wasteful number, since it uses less digits than its factorization.

158896005642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17154 (or 17145 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 158896005642 in words is "one hundred fifty-eight billion, eight hundred ninety-six million, five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 89 99 118 162 177 178 198 267 297 354 531 534 594 649 801 891 979 1062 1298 1593 1602 1782 1947 1958 2403 2937 3186 3894 4779 4806 5251 5841 5874 7209 8811 9558 10502 11682 14418 15753 16981 17523 17622 26433 31506 33962 35046 47259 50943 52569 52866 57761 79299 94518 101886 105138 115522 141777 152829 158598 173283 186791 283554 305658 346566 373582 425331 458487 519849 560373 850662 916974 1001879 1039698 1120746 1375461 1511309 1559547 1681119 2003758 2750922 3005637 3022618 3119094 3362238 4533927 4678641 5043357 6011274 9016911 9067854 9357282 10086714 11020669 13601781 15130071 16624399 18033822 22041338 27050733 27203562 30260142 33062007 33248798 40805343 49873197 54101466 66124014 81152199 81610686 89167231 99186021 99746394 122416029 149619591 162304398 178334462 198372042 244832058 267501693 297558063 299239182 448858773 535003386 595116126 802505079 892674189 897717546 980839541 1346576319 1605010158 1785348378 1961679082 2407515237 2693152638 2942518623 4815030474 5885037246 7222545711 8827555869 14445091422 17655111738 26482667607 52965335214 79448002821 158896005642