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216514577480754 = 23728365531354009
BaseRepresentation
bin110001001110101100111010…
…011110101011110000110010
31001101121120222011201022210010
4301032230322132223300302
5211334333323313341004
62044253231310515350
763414443032626600
oct6116547236536062
91041546864638703
10216514577480754
1162a96353512273
1220349b85b05b56
1393a7310a466c7
143b6750bc02870
151a07093751a89
hexc4eb3a7abc32

216514577480754 has 96 divisors (see below), whose sum is σ = 509874974562240. Its totient is φ = 61106619345408.

The previous prime is 216514577480753. The next prime is 216514577480801. The reversal of 216514577480754 is 457084775415612.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216514577480753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159229302 + ... + 160583310.

It is an arithmetic number, because the mean of its divisors is an integer number (5311197651690).

Almost surely, 2216514577480754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216514577480754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254937487281120).

216514577480754 is an abundant number, since it is smaller than the sum of its proper divisors (293360397081486).

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

216514577480754 is a wasteful number, since it uses less digits than its factorization.

216514577480754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360664 (or 1360657 counting only the distinct ones).

The product of its (nonzero) digits is 263424000, while the sum is 66.

The spelling of 216514577480754 in words is "two hundred sixteen trillion, five hundred fourteen billion, five hundred seventy-seven million, four hundred eighty thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 498 581 1162 1743 3486 4067 6553 8134 12201 13106 19659 24402 39318 45871 91742 137613 275226 321097 543899 642194 963291 1087798 1354009 1631697 1926582 2708018 3263394 3807293 4062027 7614586 8124054 9478063 11421879 18956126 22843758 26651051 28434189 53302102 56868378 66346441 79953153 112382747 132692882 159906306 199039323 224765494 337148241 398078646 674296482 786679229 1573358458 2360037687 4720075374 5506754603 8872820977 11013509206 16520263809 17745641954 26618462931 33040527618 53236925862 62109746839 124219493678 186329240517 372658481034 434768227873 736444141091 869536455746 1304304683619 1472888282182 2209332423273 2608609367238 4418664846546 5155108987637 10310217975274 15465326962911 30930653925822 36085762913459 72171525826918 108257288740377 216514577480754