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938687761881 = 3483212972
BaseRepresentation
bin11011010100011100010…
…01101000110111011001
310022201220202122000110000
431222032021220313121
5110334413031340011
61555121024243213
7124550362220142
oct15521611506731
93281822560400
10938687761881
11332105851a21
12131b10770509
136a696a0a1bc
143360b5a8ac9
151963dc07356
hexda8e268dd9

938687761881 has 45 divisors (see below), whose sum is σ = 1420430411631. Its totient is φ = 617775501888.

The previous prime is 938687761867. The next prime is 938687761919. The reversal of 938687761881 is 188167786839.

The square root of 938687761881 is 968859.

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

It can be written as a sum of positive squares in only one way, i.e., 935795043225 + 2892718656 = 967365^2 + 53784^2 .

It is not a de Polignac number, because 938687761881 - 29 = 938687761369 is a prime.

It is a super-2 number, since 2×9386877618812 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (930687761881) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 723737025 + ... + 723738321.

Almost surely, 2938687761881 is an apocalyptic number.

938687761881 is the 968859-th square number.

938687761881 is the 484430-th centered octagonal number.

It is an amenable number.

938687761881 is a deficient number, since it is larger than the sum of its proper divisors (481742649750).

938687761881 is an frugal number, since it uses more digits than its factorization.

938687761881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 1383 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

The spelling of 938687761881 in words is "nine hundred thirty-eight billion, six hundred eighty-seven million, seven hundred sixty-one thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 83 249 747 1297 2241 3891 6723 6889 11673 20667 35019 62001 105057 107651 186003 322953 558009 968859 1682209 2906577 5046627 8719731 8935033 15139881 26805099 45419643 80415297 136258929 139623347 241245891 418870041 723737673 1256610123 3769830369 11309491107 11588737801 34766213403 104298640209 312895920627 938687761881