Search a number
-
+
126065352204 = 22321110110512999
BaseRepresentation
bin111010101101000010…
…1001001111000001100
3110001101201012102112200
41311122011021320030
54031140212232304
6133525202001500
712052005545661
oct1653205117014
9401351172480
10126065352204
1149511671aa0
1220523046290
13bb7098527c
14615cac7a68
15342c6ebe39
hex1d5a149e0c

126065352204 has 144 divisors (see below), whose sum is σ = 351527904000. Its totient is φ = 37774800000.

The previous prime is 126065352199. The next prime is 126065352221. The reversal of 126065352204 is 402253560621.

126065352204 is a `hidden beast` number, since 12 + 60 + 65 + 3 + 522 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42034297 + ... + 42037295.

It is an arithmetic number, because the mean of its divisors is an integer number (2441166000).

Almost surely, 2126065352204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126065352204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175763952000).

126065352204 is an abundant number, since it is smaller than the sum of its proper divisors (225462551796).

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

126065352204 is a wasteful number, since it uses less digits than its factorization.

126065352204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 126065352204 in words is "one hundred twenty-six billion, sixty-five million, three hundred fifty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1051 1111 1212 1818 2102 2222 2999 3153 3333 3636 4204 4444 5998 6306 6666 8997 9459 9999 11561 11996 12612 13332 17994 18918 19998 23122 26991 32989 34683 35988 37836 39996 46244 53982 65978 69366 98967 104049 106151 107964 131956 138732 197934 208098 212302 296901 302899 318453 395868 416196 424604 593802 605798 636906 908697 955359 1167661 1187604 1211596 1273812 1817394 1910718 2335322 2726091 3151949 3331889 3502983 3634788 3821436 4670644 5452182 6303898 6663778 7005966 9455847 9995667 10508949 10904364 12607796 13327556 14011932 18911694 19991334 21017898 28367541 29987001 34671439 37823388 39982668 42035796 56735082 59974002 69342878 104014317 113470164 119948004 138685756 208028634 312042951 318346849 416057268 624085902 636693698 955040547 1248171804 1273387396 1910081094 2865121641 3501815339 3820162188 5730243282 7003630678 10505446017 11460486564 14007261356 21010892034 31516338051 42021784068 63032676102 126065352204