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420551413555221 = 34131956337336081
BaseRepresentation
bin101111110011111010100000…
…1100111010110000000010101
32001011001022201002121112220000
41133213311001213112000111
5420110303243332231341
64050234352515201513
7154403560034566614
oct13747650147260025
92034038632545800
10420551413555221
11112000942221133
123b2018215a6299
1315087a9c535880
1475bcb2305987b
15339479260d8b6
hex17e7d419d6015

420551413555221 has 80 divisors (see below), whose sum is σ = 713429802402240. Its totient is φ = 244744276861440.

The previous prime is 420551413555219. The next prime is 420551413555241. The reversal of 420551413555221 is 122555314155024.

420551413555221 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 5 + 1 + 41 + 35 + 552 + 21 = 666.

It is not a de Polignac number, because 420551413555221 - 21 = 420551413555219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420551413555241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7404100 + ... + 29931981.

It is an arithmetic number, because the mean of its divisors is an integer number (8917872530028).

Almost surely, 2420551413555221 is an apocalyptic number.

It is an amenable number.

420551413555221 is a deficient number, since it is larger than the sum of its proper divisors (292878388847019).

420551413555221 is a wasteful number, since it uses less digits than its factorization.

420551413555221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37336688 (or 37336679 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 420551413555221 in words is "four hundred twenty trillion, five hundred fifty-one billion, four hundred thirteen million, five hundred fifty-five thousand, two hundred twenty-one".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 563 741 1053 1539 1689 2223 5067 6669 7319 10697 15201 20007 21957 32091 45603 65871 96273 139061 197613 288819 417183 592839 866457 1251549 3754647 11263941 37336081 112008243 336024729 485369053 709385539 1008074187 1456107159 2128156617 3024222561 4368321477 6384469851 9222012007 13104964431 19153409553 21020213603 27666036021 39314893293 57460228659 63060640809 82998108063 189181922427 248994324189 273262776839 399384058457 567545767281 746982972567 819788330517 1198152175371 1702637301843 2459364991551 3594456526113 5191992759941 7378094974653 10783369578339 15575978279823 22134284923959 32350108735017 46727934839469 140183804518407 420551413555221