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2213877853104 = 2431011135237727
BaseRepresentation
bin100000001101110101011…
…001110010101110110000
321211122101221202111222220
4200031311121302232300
5242233010212244404
64413012541401040
7315642646155141
oct40156531625660
97748357674886
102213877853104
1178399a372475
122b9093269180
131309c9a96238
147921bb2dac8
153c8c49a84d9
hex20375672bb0

2213877853104 has 160 divisors (see below), whose sum is σ = 5838820291584. Its totient is φ = 722708582400.

The previous prime is 2213877853039. The next prime is 2213877853111. The reversal of 2213877853104 is 4013587783122.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 286508089 + ... + 286515815.

Almost surely, 22213877853104 is an apocalyptic number.

2213877853104 is a gapful number since it is divisible by the number (24) 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 2213877853104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919410145792).

2213877853104 is an abundant number, since it is smaller than the sum of its proper divisors (3624942438480).

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

2213877853104 is a wasteful number, since it uses less digits than its factorization.

2213877853104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 2213877853104 in words is "two trillion, two hundred thirteen billion, eight hundred seventy-seven million, eight hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 113 202 226 303 339 404 452 523 606 678 808 904 1046 1212 1356 1569 1616 1808 2092 2424 2712 3138 4184 4848 5424 6276 7727 8368 11413 12552 15454 22826 23181 25104 30908 34239 45652 46362 52823 59099 61816 68478 91304 92724 105646 118198 123632 136956 158469 177297 182608 185448 211292 236396 273912 316938 354594 370896 422584 472792 547824 633876 709188 780427 845168 873151 945584 1267752 1418376 1560854 1746302 2341281 2535504 2619453 2836752 3121708 3492604 4041221 4682562 5238906 5968999 6243416 6985208 8082442 9365124 10477812 11937998 12123663 12486832 13970416 16164884 17906997 18730248 20955624 23875996 24247326 32329768 35813994 37460496 41911248 47751992 48494652 64659536 71627988 88188251 95503984 96989304 143255976 176376502 193978608 264564753 286511952 352753004 408163321 456657973 529129506 705506008 816326642 913315946 1058259012 1224489963 1369973919 1411012016 1632653284 1826631892 2116518024 2448979926 2739947838 3265306568 3653263784 4233036048 4897959852 5479895676 6530613136 7306527568 9795919704 10959791352 19591839408 21919582704 46122455273 92244910546 138367365819 184489821092 276734731638 368979642184 553469463276 737959284368 1106938926552 2213877853104