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1533142135332 = 223252318141327
BaseRepresentation
bin10110010011110110011…
…001000111001000100100
312102120022022102001110100
4112103312121013020210
5200104333341312312
63132152112424100
7215523456062553
oct26236631071044
95376268361410
101533142135332
11541224848185
12209172248030
13b176176a182
14542c1119d9a
1529d31c915dc
hex164f6647224

1533142135332 has 36 divisors (see below), whose sum is σ = 3876183956736. Its totient is φ = 510949619760.

The previous prime is 1533142135331. The next prime is 1533142135337. The reversal of 1533142135332 is 2335312413351.

1533142135332 is a `hidden beast` number, since 1 + 5 + 3 + 314 + 2 + 1 + 3 + 5 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1533142135331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3882348 + ... + 4258979.

It is an arithmetic number, because the mean of its divisors is an integer number (107671776576).

Almost surely, 21533142135332 is an apocalyptic number.

1533142135332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1533142135332 is an abundant number, since it is smaller than the sum of its proper divisors (2343041821404).

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

1533142135332 is a wasteful number, since it uses less digits than its factorization.

1533142135332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146568 (or 8146563 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 1533142135332 its reverse (2335312413351), we get a palindrome (3868454548683).

The spelling of 1533142135332 in words is "one trillion, five hundred thirty-three billion, one hundred forty-two million, one hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5231 10462 15693 20924 31386 47079 62772 94158 188316 8141327 16282654 24423981 32565308 48847962 73271943 97695924 146543886 293087772 42587281537 85174563074 127761844611 170349126148 255523689222 383285533833 511047378444 766571067666 1533142135332