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214028864550 = 232527112752747
BaseRepresentation
bin1100011101010100011…
…1010100110000100110
3202110110001001211210100
43013111013110300212
512001312342131200
6242153513204530
721314556221514
oct3072507246046
9673401054710
10214028864550
1182850794836
1235591a00746
131724b8c6267
14a50534d4b4
155879da9d00
hex31d51d4c26

214028864550 has 144 divisors (see below), whose sum is σ = 587725811712. Its totient is φ = 55826366400.

The previous prime is 214028864531. The next prime is 214028864557. The reversal of 214028864550 is 55468820412.

214028864550 is a `hidden beast` number, since 2 + 14 + 0 + 2 + 8 + 86 + 4 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 214028864496 and 214028864505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214028864557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4031277 + ... + 4084023.

It is an arithmetic number, because the mean of its divisors is an integer number (4081429248).

Almost surely, 2214028864550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214028864550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293862905856).

214028864550 is an abundant number, since it is smaller than the sum of its proper divisors (373696947162).

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

214028864550 is a wasteful number, since it uses less digits than its factorization.

214028864550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52963 (or 52955 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 214028864550 in words is "two hundred fourteen billion, twenty-eight million, eight hundred sixty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 127 142 150 213 225 254 355 381 426 450 635 639 710 762 1065 1143 1270 1278 1775 1905 2130 2286 3175 3195 3550 3810 5325 5715 6350 6390 9017 9525 10650 11430 15975 18034 19050 27051 28575 31950 45085 52747 54102 57150 81153 90170 105494 135255 158241 162306 225425 263735 270510 316482 405765 450850 474723 527470 676275 791205 811530 949446 1318675 1352550 1582410 2028825 2373615 2637350 3745037 3956025 4057650 4747230 6698869 7490074 7912050 11235111 11868075 13397738 18725185 20096607 22470222 23736150 33494345 33705333 37450370 40193214 56175555 60289821 66988690 67410666 93625925 100483035 112351110 120579642 167471725 168526665 187251850 200966070 280877775 301449105 334943450 337053330 475619699 502415175 561755550 602898210 842633325 951239398 1004830350 1426859097 1507245525 1685266650 2378098495 2853718194 3014491050 4280577291 4756196990 7134295485 8561154582 11890492475 14268590970 21402886455 23780984950 35671477425 42805772910 71342954850 107014432275 214028864550