Search a number
-
+
132208000863152 = 24293139759938651
BaseRepresentation
bin11110000011111000010010…
…111011011000101110110000
3122100002221221220011210011012
4132003320102323120232300
5114312043441210110102
61145103303411210052
736563466336320264
oct3603702273305660
9570087856153135
10132208000863152
1139142109917105
12129b2967ba6928
1358a02128c1676
142490c895800a4
151044078116752
hex783e12ed8bb0

132208000863152 has 160 divisors (see below), whose sum is σ = 274687704576000. Its totient is φ = 61505668224000.

The previous prime is 132208000863079. The next prime is 132208000863161. The reversal of 132208000863152 is 251368000802231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3420539027 + ... + 3420577677.

It is an arithmetic number, because the mean of its divisors is an integer number (1716798153600).

Almost surely, 2132208000863152 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 132208000863152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137343852288000).

132208000863152 is an abundant number, since it is smaller than the sum of its proper divisors (142479703712848).

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

132208000863152 is a wasteful number, since it uses less digits than its factorization.

132208000863152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39715 (or 39709 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 132208000863152 in words is "one hundred thirty-two trillion, two hundred eight billion, eight hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 397 464 496 599 794 899 1198 1588 1798 2396 3176 3596 4792 6352 7192 9584 11513 12307 14384 17371 18569 23026 24614 34742 37138 38651 46052 49228 69484 74276 77302 92104 98456 138968 148552 154604 184208 196912 237803 277936 297104 309208 356903 475606 538501 618416 713806 951212 1077002 1120879 1198181 1427612 1902424 2154004 2241758 2396362 2855224 3804848 4308008 4483516 4792724 5710448 6896287 7371893 8616016 8967032 9585448 13792574 14743786 15344447 17934064 19170896 23151949 27585148 29487572 30688894 34747249 46303898 55170296 58975144 61377788 69494498 92607796 110340592 117950288 122755576 138988996 185215592 213784897 245511152 277977992 370431184 427569794 444988963 475677857 555955984 671406521 717710419 855139588 889977926 951355714 1342813042 1435420838 1710279176 1779955852 1902711428 2685626084 2870841676 3420558352 3559911704 3805422856 5371252168 5741683352 7119823408 7610845712 9191323753 10742504336 11483366704 13794657853 18382647506 20813602151 27589315706 36765295012 41627204302 55178631412 73530590024 83254408604 110357262824 147061180048 166508817208 220714525648 266548388837 284931036343 333017634416 533096777674 569862072686 1066193555348 1139724145372 2132387110696 2279448290744 4264774221392 4558896581488 8263000053947 16526000107894 33052000215788 66104000431576 132208000863152