Search a number
-
+
158180407800 = 23352312274333
BaseRepresentation
bin1001001101010001001…
…0010111100111111000
3120010021212100021202020
42103110102113213320
510042423141022200
6200400031034440
714266600165452
oct2232422274770
9503255307666
10158180407800
11610a1797658
12267a636ba20
1311bbb2a9c4c
147927dbb2d2
1541abd63ea0
hex24d44979f8

158180407800 has 144 divisors (see below), whose sum is σ = 506689411320. Its totient is φ = 40820601600.

The previous prime is 158180407747. The next prime is 158180407811. The reversal of 158180407800 is 8704081851.

158180407800 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 439434 + ... + 713766.

Almost surely, 2158180407800 is an apocalyptic number.

158180407800 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 158180407800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253344705660).

158180407800 is an abundant number, since it is smaller than the sum of its proper divisors (348509003520).

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

158180407800 is a wasteful number, since it uses less digits than its factorization.

158180407800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274414 (or 274374 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 158180407800 in words is "one hundred fifty-eight billion, one hundred eighty million, four hundred seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 961 1240 1550 1860 1922 2325 2883 3100 3720 3844 4650 4805 5766 6200 7688 9300 9610 11532 14415 18600 19220 23064 24025 28830 38440 48050 57660 72075 96100 115320 144150 192200 274333 288300 548666 576600 822999 1097332 1371665 1645998 2194664 2743330 3291996 4114995 5486660 6583992 6858325 8229990 8504323 10973320 13716650 16459980 17008646 20574975 25512969 27433300 32919960 34017292 41149950 42521615 51025938 54866600 68034584 82299900 85043230 102051876 127564845 164599800 170086460 204103752 212608075 255129690 263634013 340172920 425216150 510259380 527268026 637824225 790902039 850432300 1020518760 1054536052 1275648450 1318170065 1581804078 1700864600 2109072104 2551296900 2636340130 3163608156 3954510195 5102593800 5272680260 6327216312 6590850325 7909020390 10545360520 13181700650 15818040780 19772550975 26363401300 31636081560 39545101950 52726802600 79090203900 158180407800