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9682216363876 = 227237260072
BaseRepresentation
bin1000110011100101000100…
…0100010010011101100100
31021021121111022020220111111
42030321101010102131210
52232113134342121001
632331540534514404
72016342230120200
oct214712104223544
937247438226444
109682216363876
1130a32287a4791
12110458a805a04
1355304bb92a04
1425689c201b00
1511bccb3b8851
hex8ce51112764

9682216363876 has 81 divisors (see below), whose sum is σ = 20260705369401. Its totient is φ = 4036699963296.

The previous prime is 9682216363873. The next prime is 9682216363891. The reversal of 9682216363876 is 6783636122869.

The square root of 9682216363876 is 3111626.

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., 8663780164900 + 1018436198976 = 2943430^2 + 1009176^2 .

It is not an unprimeable number, because it can be changed into a prime (9682216363873) 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, 1611819265 + ... + 1611825271.

Almost surely, 29682216363876 is an apocalyptic number.

9682216363876 is the 3111626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9682216363876

9682216363876 is an abundant number, since it is smaller than the sum of its proper divisors (10578489005525).

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

9682216363876 is an frugal number, since it uses more digits than its factorization.

9682216363876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12106 (or 6053 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 67.

The spelling of 9682216363876 in words is "nine trillion, six hundred eighty-two billion, two hundred sixteen million, three hundred sixty-three thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1369 1813 2738 3626 5476 6007 7252 9583 12014 19166 24028 38332 42049 67081 84098 134162 168196 222259 268324 294343 444518 588686 889036 1177372 1555813 3111626 6223252 8223583 10890691 16447166 21781382 32894332 36084049 43562764 57565081 72168098 115130162 144336196 230260324 252588343 402955567 505176686 805911134 1010353372 1335109813 1611822268 1768118401 2670219626 3536236802 5340439252 7072473604 9345768691 18691537382 37383074764 49399063081 65420380837 98798126162 130840761674 197596252324 261681523348 345793441567 691586883134 1383173766268 2420554090969 4841108181938 9682216363876