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3542122225053 = 35731131767079
BaseRepresentation
bin110011100010110110111…
…011111101110110011101
3110112121211120212201200000
4303202312323331312131
5431013231242200203
611311121204124513
7513624043065336
oct63426673756635
913477746781600
103542122225053
111146229720315
124925a1696739
131c90366001a9
14c36224bb28d
15622133164a3
hex338b6efdd9d

3542122225053 has 48 divisors (see below), whose sum is σ = 5426179624320. Its totient is φ = 2308454152704.

The previous prime is 3542122225021. The next prime is 3542122225073. The reversal of 3542122225053 is 3505222212453.

It is a happy number.

3542122225053 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 122 + 22 + 505 + 3 = 666.

It is not a de Polignac number, because 3542122225053 - 25 = 3542122225021 is a prime.

It is a super-3 number, since 3×35421222250533 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3542122224999 and 3542122225017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542122225073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120968 + ... + 2888046.

It is an arithmetic number, because the mean of its divisors is an integer number (113045408840).

Almost surely, 23542122225053 is an apocalyptic number.

It is an amenable number.

3542122225053 is a deficient number, since it is larger than the sum of its proper divisors (1884057399267).

3542122225053 is a wasteful number, since it uses less digits than its factorization.

3542122225053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767280 (or 1767268 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 3542122225053 in words is "three trillion, five hundred forty-two billion, one hundred twenty-two million, two hundred twenty-five thousand, fifty-three".

Divisors: 1 3 9 27 73 81 113 219 243 339 657 1017 1971 3051 5913 8249 9153 17739 24747 27459 74241 222723 668169 1767079 2004507 5301237 15903711 47711133 128996767 143133399 199679927 386990301 429400197 599039781 1160970903 1797119343 3482912709 5391358029 10448738127 14576634671 16174074087 31346214381 43729904013 48522222261 131189712039 393569136117 1180707408351 3542122225053