Search a number
-
+
158587938432 = 27327114738039
BaseRepresentation
bin1001001110110010010…
…0111110011010000000
3120011100021011222200100
42103230210332122000
510044242003012212
6200504305522400
714312646143430
oct2235444763200
9504307158610
10158587938432
1161290836430
122689a943400
1311c54857131
1479661822c0
1541d2a13bdc
hex24ec93e680

158587938432 has 384 divisors, whose sum is σ = 581080780800. Its totient is φ = 40314193920.

The previous prime is 158587938427. The next prime is 158587938451. The reversal of 158587938432 is 234839785851.

158587938432 is a `hidden beast` number, since 1 + 5 + 8 + 587 + 9 + 3 + 8 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1585879384322 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 158587938432.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4150069 + ... + 4188107.

It is an arithmetic number, because the mean of its divisors is an integer number (1513231200).

Almost surely, 2158587938432 is an apocalyptic number.

158587938432 is a gapful number since it is divisible by the number (12) 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 158587938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290540390400).

158587938432 is an abundant number, since it is smaller than the sum of its proper divisors (422492842368).

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

158587938432 is a wasteful number, since it uses less digits than its factorization.

158587938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38124 (or 38109 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 158587938432 in words is "one hundred fifty-eight billion, five hundred eighty-seven million, nine hundred thirty-eight thousand, four hundred thirty-two".