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214666928528 = 241321721612
BaseRepresentation
bin1100011111101100100…
…1010110000110010000
3202112002111200212000112
43013323021112012100
512004114213203103
6242341105140452
721336434533403
oct3077311260620
9675074625015
10214666928528
1183048980738
123572b62a728
1317320b5b400
14a565da3d3a
1558b5de5cd8
hex31fb256190

214666928528 has 90 divisors (see below), whose sum is σ = 477085083462. Its totient is φ = 93205831680.

The previous prime is 214666928513. The next prime is 214666928591. The reversal of 214666928528 is 825829666412.

214666928528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 50664607744 + 164002320784 = 225088^2 + 404972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99335768 + ... + 99337928.

Almost surely, 2214666928528 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 214666928528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238542541731).

214666928528 is an abundant number, since it is smaller than the sum of its proper divisors (262418154934).

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

214666928528 is an equidigital number, since it uses as much as digits as its factorization.

214666928528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 2193 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 59.

The spelling of 214666928528 in words is "two hundred fourteen billion, six hundred sixty-six million, nine hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 442 676 884 1352 1768 2161 2704 2873 3536 4322 5746 8644 11492 17288 22984 28093 34576 36737 45968 56186 73474 112372 146948 224744 293896 365209 449488 477581 587792 730418 955162 1460836 1910324 2921672 3820648 4669921 5843344 6208553 7641296 9339842 12417106 18679684 24834212 37359368 49668424 60708973 74718736 79388657 99336848 121417946 158777314 242835892 317554628 485671784 635109256 789216649 971343568 1032052541 1270218512 1578433298 2064105082 3156866596 4128210164 6313733192 8256420328 12627466384 13416683033 16512840656 26833366066 53666732132 107333464264 214666928528