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82238834884969 = 72587222072
BaseRepresentation
bin10010101100101110111000…
…100010100100000101101001
3101210011221210210200010020101
4102230232320202210011221
541234400113212304334
6450523555454025401
723215362664500400
oct2254567042440551
9353157723603211
1082238834884969
112422732636aa84
12928252b4a8261
1336b7120299119
141644549084637
1597934a428214
hex4acbb88a4169

82238834884969 has 27 divisors (see below), whose sum is σ = 95872274892093. Its totient is φ = 70338458922648.

The previous prime is 82238834884939. The next prime is 82238834885021. The reversal of 82238834884969 is 96948843883228.

The square root of 82238834884969 is 9068563.

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

It is not a de Polignac number, because 82238834884969 - 211 = 82238834882921 is a prime.

It is a super-2 number, since 2×822388348849692 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82238834884892 and 82238834884901.

It is not an unprimeable number, because it can be changed into a prime (82238834884939) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37262724264 + ... + 37262726470.

Almost surely, 282238834884969 is an apocalyptic number.

82238834884969 is the 9068563-rd square number.

82238834884969 is the 4534282-nd centered octagonal number.

It is an amenable number.

82238834884969 is a deficient number, since it is larger than the sum of its proper divisors (13633440007124).

82238834884969 is an frugal number, since it uses more digits than its factorization.

82238834884969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 2801 counting only the distinct ones).

The product of its digits is 9172942848, while the sum is 82.

The spelling of 82238834884969 in words is "eighty-two trillion, two hundred thirty-eight billion, eight hundred thirty-four million, eight hundred eighty-four thousand, nine hundred sixty-nine".

Divisors: 1 7 49 587 2207 4109 15449 28763 108143 344569 1295509 2411983 4870849 9068563 16883881 34095943 63479941 238671601 760463783 2859188363 5323246481 20014318541 37262725367 140100229787 1678343569081 11748404983567 82238834884969