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421216626324420 = 2232511292072712461
BaseRepresentation
bin101111111000110000010001…
…1011000101011001111000100
32001020101220201220210112011100
41133301200203120223033010
5420202203122314340140
64051504125145340100
7154502616445046313
oct13761404330531704
92036356656715140
10421216626324420
11112237a71513403
123b2aa72ba97630
1315105732887274
147602dca1dc27a
1533a6c27663530
hex17f182362b3c4

421216626324420 has 72 divisors (see below), whose sum is σ = 1278822134804760. Its totient is φ = 112224943434240.

The previous prime is 421216626324379. The next prime is 421216626324493. The reversal of 421216626324420 is 24423626612124.

421216626324420 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 1 + 6 + 6 + 2 + 632 + 4 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1426438480896 + 419790187843524 = 1194336^2 + 20488782^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036153011 + ... + 1036559450.

It is an arithmetic number, because the mean of its divisors is an integer number (17761418538955).

Almost surely, 2421216626324420 is an apocalyptic number.

It is an amenable number.

421216626324420 is an abundant number, since it is smaller than the sum of its proper divisors (857605508480340).

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

421216626324420 is a wasteful number, since it uses less digits than its factorization.

421216626324420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072713605 (or 2072713600 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 421216626324420 in words is "four hundred twenty-one trillion, two hundred sixteen billion, six hundred twenty-six million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1129 2258 3387 4516 5645 6774 10161 11290 13548 16935 20322 22580 33870 40644 50805 67740 101610 203220 2072712461 4145424922 6218137383 8290849844 10363562305 12436274766 18654412149 20727124610 24872549532 31090686915 37308824298 41454249220 62181373830 74617648596 93272060745 124362747660 186544121490 373088242980 2340092368469 4680184736938 7020277105407 9360369473876 11700461842345 14040554210814 21060831316221 23400923684690 28081108421628 35101385527035 42121662632442 46801847369380 70202771054070 84243325264884 105304156581105 140405542108140 210608313162210 421216626324420