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21829767001 = 72211072
BaseRepresentation
bin10100010101001001…
…111100111101011001
32002100100120001200221
4110111021330331121
5324201410021001
614010051400041
71401650646400
oct242511747531
962310501627
1021829767001
119292375059
1242928b3021
13209b7ba8c3
1410b130a637
1587b7041a1
hex51527cf59

21829767001 has 9 divisors (see below), whose sum is σ = 25395013749. Its totient is φ = 18710342364.

The previous prime is 21829766999. The next prime is 21829767019. The reversal of 21829767001 is 10076792812.

The square root of 21829767001 is 147749.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 21829767001 - 21 = 21829766999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21829767601) 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 8 ways as a sum of consecutive naturals, for example, 1023690 + ... + 1044796.

Almost surely, 221829767001 is an apocalyptic number.

21829767001 is the 147749-th square number.

21829767001 is the 73875-th centered octagonal number.

It is an amenable number.

21829767001 is a deficient number, since it is larger than the sum of its proper divisors (3565246748).

21829767001 is an frugal number, since it uses more digits than its factorization.

21829767001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42228 (or 21114 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 21829767001 in words is "twenty-one billion, eight hundred twenty-nine million, seven hundred sixty-seven thousand, one".

Divisors: 1 7 49 21107 147749 1034243 445505449 3118538143 21829767001