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132348522033 = 32713569284003
BaseRepresentation
bin111101101000010010…
…1100010111000110001
3110122121121002112012100
41323100211202320301
54132022210201113
6140444452051013
712363501606240
oct1732045427061
9418547075170
10132348522033
1151146321532
1221797303a69
13c632608440
146597368957
15369911bd73
hex1ed0962e31

132348522033 has 48 divisors (see below), whose sum is σ = 235700599680. Its totient is φ = 69687274752.

The previous prime is 132348522029. The next prime is 132348522127. The reversal of 132348522033 is 330225843231.

132348522033 is a `hidden beast` number, since 1 + 323 + 4 + 85 + 220 + 33 = 666.

It is not a de Polignac number, because 132348522033 - 22 = 132348522029 is a prime.

It is a super-2 number, since 2×1323485220332 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132348522233) 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, 324010 + ... + 608012.

It is an arithmetic number, because the mean of its divisors is an integer number (4910429160).

Almost surely, 2132348522033 is an apocalyptic number.

132348522033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132348522033 is a deficient number, since it is larger than the sum of its proper divisors (103352077647).

132348522033 is a wasteful number, since it uses less digits than its factorization.

132348522033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284598 (or 284595 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 132348522033 in words is "one hundred thirty-two billion, three hundred forty-eight million, five hundred twenty-two thousand, thirty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 569 819 1707 3983 5121 7397 11949 22191 35847 51779 66573 155337 284003 466011 852009 1988021 2556027 3692039 5964063 11076117 17892189 25844273 33228351 77532819 161597707 232598457 484793121 1131183949 1454379363 2100770191 3393551847 6302310573 10180655541 14705391337 18906931719 44116174011 132348522033