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21216166226625 = 3531034215692293
BaseRepresentation
bin1001101001011110001100…
…00011010010101011000001
32210010020122002210000111110
410310233012003102223001
510240101202023223000
6113042323333033533
74316550243256656
oct464570603225301
983106562700443
1021216166226625
11683a7a88044a7
122467a031858a9
13bab8a2c155c6
14534c21827c2d
1526bd33e4e850
hex134bc60d2ac1

21216166226625 has 128 divisors (see below), whose sum is σ = 35809532328960. Its totient is φ = 11154302208000.

The previous prime is 21216166226597. The next prime is 21216166226627. The reversal of 21216166226625 is 52662266161212.

It is not a de Polignac number, because 21216166226625 - 216 = 21216166161089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21216166226627) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9252578979 + ... + 9252581271.

It is an arithmetic number, because the mean of its divisors is an integer number (279761971320).

Almost surely, 221216166226625 is an apocalyptic number.

21216166226625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21216166226625 is a deficient number, since it is larger than the sum of its proper divisors (14593366102335).

21216166226625 is a wasteful number, since it uses less digits than its factorization.

21216166226625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3394 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 21216166226625 in words is "twenty-one trillion, two hundred sixteen billion, one hundred sixty-six million, two hundred twenty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 103 125 309 375 421 515 569 1263 1545 1707 2105 2293 2575 2845 6315 6879 7725 8535 10525 11465 12875 14225 31575 34395 38625 42675 43363 52625 57325 58607 71125 130089 157875 171975 175821 213375 216815 236179 239549 286625 293035 650445 708537 718647 859875 879105 965353 1084075 1180895 1197745 1304717 1465175 2896059 3252225 3542685 3593235 3914151 4395525 4826765 5420375 5904475 5988725 6523585 7325875 14480295 16261125 17713425 17966175 19570755 21977625 24133825 24673547 29522375 29943625 32617925 72401475 74020641 88567125 89830875 97853775 99431359 120669125 123367735 134385851 163089625 298294077 362007375 370103205 403157553 489268875 497156795 549285857 616838675 671929255 1491470385 1647857571 1850516025 2015787765 2485783975 2746429285 3084193375 3359646275 7457351925 8239287855 9252580125 10078938825 12428919875 13732146425 16798231375 37286759625 41196439275 50394694125 56576443271 68660732125 169729329813 205982196375 282882216355 848646649065 1414411081775 4243233245325 7072055408875 21216166226625