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214164115221641 = 13611312837284769
BaseRepresentation
bin110000101100011111111000…
…000000101110110010001001
31001002021220000102022002011012
4300230133320000232302021
5211032331101444043031
62035253345235213305
763052563265235204
oct6054377000566211
91032256012262135
10214164115221641
116226a544883012
122002a534a47235
139266787c14120
143ac585435093b
1519b5d77d5eb2b
hexc2c7f802ec89

214164115221641 has 32 divisors (see below), whose sum is σ = 237043385335680. Its totient is φ = 192282908313600.

The previous prime is 214164115221619. The next prime is 214164115221643. The reversal of 214164115221641 is 146122511461412.

It is not a de Polignac number, because 214164115221641 - 234 = 214146935352457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214164115221643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25756505 + ... + 33041273.

It is an arithmetic number, because the mean of its divisors is an integer number (7407605791740).

Almost surely, 2214164115221641 is an apocalyptic number.

It is an amenable number.

214164115221641 is a deficient number, since it is larger than the sum of its proper divisors (22879270114039).

214164115221641 is a wasteful number, since it uses less digits than its factorization.

214164115221641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285257.

The product of its digits is 92160, while the sum is 41.

The spelling of 214164115221641 in words is "two hundred fourteen trillion, one hundred sixty-four billion, one hundred fifteen million, two hundred twenty-one thousand, six hundred forty-one".

Divisors: 1 13 61 131 283 793 1703 3679 7991 17263 37073 103883 224419 481949 2261453 7284769 29398889 94701997 444370909 954304739 2061589627 5776821817 12405961607 26800665151 58212589079 125756967247 270068241137 756763658027 1634840574211 3510887134781 16474162709357 214164115221641