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45461035152162 = 2327734942491319
BaseRepresentation
bin10100101011000101110001…
…10110011111001100100010
312221222000212201000111021200
422111202320312133030202
521424313144444332122
6240404302232102030
712401310554663010
oct1225427066371442
9187860781014250
1045461035152162
1113537a0a1a4143
1251227a0834916
131c49c5a0214c6
14b3247c1758b0
1553c82c3b15ac
hex2958b8d9f322

45461035152162 has 48 divisors (see below), whose sum is σ = 114112239596160. Its totient is φ = 12810937496256.

The previous prime is 45461035152157. The next prime is 45461035152163. The reversal of 45461035152162 is 26125153016454.

45461035152162 is a `hidden beast` number, since 4 + 5 + 4 + 6 + 10 + 3 + 51 + 521 + 62 = 666.

45461035152162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454610351521622 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45461035152163) 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 23 ways as a sum of consecutive naturals, for example, 2471236462 + ... + 2471254857.

It is an arithmetic number, because the mean of its divisors is an integer number (2377338324920).

Almost surely, 245461035152162 is an apocalyptic number.

45461035152162 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

45461035152162 is an abundant number, since it is smaller than the sum of its proper divisors (68651204443998).

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

45461035152162 is a wasteful number, since it uses less digits than its factorization.

45461035152162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942491407 (or 4942491404 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 45461035152162 in words is "forty-five trillion, four hundred sixty-one billion, thirty-five million, one hundred fifty-two thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 3066 4599 9198 4942491319 9884982638 14827473957 29654947914 34597439233 44482421871 69194878466 88964843742 103792317699 207584635398 311376953097 360801866287 622753906194 721603732574 1082405598861 2164811197722 2525613064009 3247216796583 5051226128018 6494433593166 7576839192027 15153678384054 22730517576081 45461035152162