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214063542704 = 24115328378089
BaseRepresentation
bin1100011101011100101…
…1100111000110110000
3202110112110022200021102
43013113023213012300
512001400231331304
6242201152343532
721315460043144
oct3072713470660
9673473280242
10214063542704
118286931aa70
12355a1544ba8
1317255b4868b
14a509bb9224
15587ce59d1e
hex31d72e71b0

214063542704 has 80 divisors (see below), whose sum is σ = 461208828960. Its totient is φ = 95420282880.

The previous prime is 214063542677. The next prime is 214063542713. The reversal of 214063542704 is 407245360412.

It is a happy number.

214063542704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26459492 + ... + 26467580.

It is an arithmetic number, because the mean of its divisors is an integer number (5765110362).

Almost surely, 2214063542704 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 214063542704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230604414480).

214063542704 is an abundant number, since it is smaller than the sum of its proper divisors (247145286256).

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

214063542704 is a wasteful number, since it uses less digits than its factorization.

214063542704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 214063542704 in words is "two hundred fourteen billion, sixty-three million, five hundred forty-two thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 2837 4664 5674 8089 9328 11348 16178 22696 31207 32356 45392 62414 64712 88979 124828 129424 150361 177958 249656 300722 355916 428717 499312 601444 711832 857434 1202888 1423664 1653971 1714868 2405776 3307942 3429736 4715887 6615884 6859472 9431774 13231768 18863548 22948493 26463536 37727096 45896986 75454192 91793972 183587944 252433423 367175888 504866846 1009733692 1216270129 2019467384 2432540258 4038934768 4865080516 9730161032 13378971419 19460322064 26757942838 53515885676 107031771352 214063542704