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42212655153 = 3247791263209
BaseRepresentation
bin100111010100000100…
…100000000000110001
311000221212120001202100
4213110010200000301
51142422414431103
631220415411013
73023032435314
oct472404400061
9130855501670
1042212655153
11169a1a41669
128220b23a69
133c995c5176
1420863c097b
151170da35a3
hex9d4120031

42212655153 has 24 divisors (see below), whose sum is σ = 63059443200. Its totient is φ = 27194341824.

The previous prime is 42212655119. The next prime is 42212655187. The reversal of 42212655153 is 35155621224.

42212655153 is a `hidden beast` number, since 42 + 2 + 12 + 6 + 551 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (42212655119) and next prime (42212655187).

It is not a de Polignac number, because 42212655153 - 29 = 42212654641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42212655193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598188 + ... + 665021.

It is an arithmetic number, because the mean of its divisors is an integer number (2627476800).

Almost surely, 242212655153 is an apocalyptic number.

It is an amenable number.

42212655153 is a deficient number, since it is larger than the sum of its proper divisors (20846788047).

42212655153 is a wasteful number, since it uses less digits than its factorization.

42212655153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263341 (or 1263338 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 42212655153 in words is "forty-two billion, two hundred twelve million, six hundred fifty-five thousand, one hundred fifty-three".

Divisors: 1 3 9 47 79 141 237 423 711 3713 11139 33417 1263209 3789627 11368881 59370823 99793511 178112469 299380533 534337407 898141599 4690295017 14070885051 42212655153