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420066255231 = 3572169720789
BaseRepresentation
bin1100001110011011110…
…01100110000101111111
31111011021010202202100000
412013031321212011333
523340243430131411
6520550433405343
742230430153600
oct6071571460577
91434233682300
10420066255231
111521704a4a07
12694b3409853
13307c597314c
141648d1b3da7
15add83a0956
hex61cde6617f

420066255231 has 72 divisors (see below), whose sum is σ = 732433862160. Its totient is φ = 239884872192.

The previous prime is 420066255229. The next prime is 420066255241. The reversal of 420066255231 is 132552660024.

420066255231 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 6 + 625 + 5 + 23 + 1 = 666.

It is not a de Polignac number, because 420066255231 - 21 = 420066255229 is a prime.

It is a super-2 number, since 2×4200662552312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420066255241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20195785 + ... + 20216573.

It is an arithmetic number, because the mean of its divisors is an integer number (10172692530).

Almost surely, 2420066255231 is an apocalyptic number.

420066255231 is a deficient number, since it is larger than the sum of its proper divisors (312367606929).

420066255231 is a wasteful number, since it uses less digits than its factorization.

420066255231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22515 (or 22496 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 420066255231 in words is "four hundred twenty billion, sixty-six million, two hundred fifty-five thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 1323 1697 1701 3969 5091 11879 11907 15273 20789 35637 45819 62367 83153 106911 137457 145523 187101 249459 320733 412371 436569 561303 748377 962199 1018661 1309707 1683909 2245131 2886597 3055983 3929121 5051727 6735393 9167949 11787363 20206179 27503847 35278933 35362089 82511541 105836799 246952531 247534623 317510397 740857593 952531191 1728667717 2222572779 2857593573 5186003151 6667718337 8572780719 15558009453 20003155011 46674028359 60009465033 140022085077 420066255231