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32700081829 is a prime number
BaseRepresentation
bin11110011101000100…
…111010011010100101
310010101220222021022211
4132131010322122211
51013432210104304
623004444123421
72235224052352
oct363504723245
9103356867284
1032700081829
1112960386518
126407236571
1331118a9b5c
141822c9d629
15cb5bc8204
hex79d13a6a5

32700081829 has 2 divisors, whose sum is σ = 32700081830. Its totient is φ = 32700081828.

The previous prime is 32700081767. The next prime is 32700081833. The reversal of 32700081829 is 92818000723.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27731241729 + 4968840100 = 166527^2 + 70490^2 .

It is a cyclic number.

It is not a de Polignac number, because 32700081829 - 215 = 32700049061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32700081791 and 32700081800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32700081229) 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 as a sum of consecutive naturals, namely, 16350040914 + 16350040915.

It is an arithmetic number, because the mean of its divisors is an integer number (16350040915).

Almost surely, 232700081829 is an apocalyptic number.

It is an amenable number.

32700081829 is a deficient number, since it is larger than the sum of its proper divisors (1).

32700081829 is an equidigital number, since it uses as much as digits as its factorization.

32700081829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 32700081829 in words is "thirty-two billion, seven hundred million, eighty-one thousand, eight hundred twenty-nine".