Search a number
-
+
161849022600 = 23352479563149
BaseRepresentation
bin1001011010111011110…
…1000001100010001000
3120110202112111020011110
42112232331001202020
510122431322210400
6202204042130320
714456524664436
oct2265675014210
9513675436143
10161849022600
1162704610211
122744aab09a0
1312354362235
147b9530bd56
154323e7ae50
hex25aef41888

161849022600 has 96 divisors (see below), whose sum is σ = 502780320000. Its totient is φ = 43069559040.

The previous prime is 161849022589. The next prime is 161849022619. The reversal of 161849022600 is 6220948161.

It is a super-2 number, since 2×1618490226002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5826 + ... + 568974.

It is an arithmetic number, because the mean of its divisors is an integer number (5237295000).

Almost surely, 2161849022600 is an apocalyptic number.

161849022600 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 161849022600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251390160000).

161849022600 is an abundant number, since it is smaller than the sum of its proper divisors (340931297400).

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

161849022600 is a wasteful number, since it uses less digits than its factorization.

161849022600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563647 (or 563638 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 161849022600 in words is "one hundred sixty-one billion, eight hundred forty-nine million, twenty-two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 479 600 958 1437 1916 2395 2874 3832 4790 5748 7185 9580 11496 11975 14370 19160 23950 28740 35925 47900 57480 71850 95800 143700 287400 563149 1126298 1689447 2252596 2815745 3378894 4505192 5631490 6757788 8447235 11262980 13515576 14078725 16894470 22525960 28157450 33788940 42236175 56314900 67577880 84472350 112629800 168944700 269748371 337889400 539496742 809245113 1078993484 1348741855 1618490226 2157986968 2697483710 3236980452 4046225565 5394967420 6473960904 6743709275 8092451130 10789934840 13487418550 16184902260 20231127825 26974837100 32369804520 40462255650 53949674200 80924511300 161849022600