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309368451681 = 3423226872
BaseRepresentation
bin1001000000001111100…
…10111111001001100001
31002120112102022200110000
410200013302333021201
520032041310423211
6354042155330213
731231303310502
oct4400762771141
91076472280400
10309368451681
1110a225475753
124bb5aa50969
1323233a25843
1410d8b468ba9
1580a9dbb656
hex4807cbf261

309368451681 has 45 divisors (see below), whose sum is σ = 483289647841. Its totient is φ = 197205013368.

The previous prime is 309368451671. The next prime is 309368451737. The reversal of 309368451681 is 186154863903.

The square root of 309368451681 is 556209.

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

309368451681 is a `hidden beast` number, since 30 + 93 + 6 + 8 + 4 + 516 + 8 + 1 = 666.

It is not a de Polignac number, because 309368451681 - 229 = 308831580769 is a prime.

It is a super-2 number, since 2×3093684516812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (309368451671) 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, 115133920 + ... + 115136606.

Almost surely, 2309368451681 is an apocalyptic number.

309368451681 is the 556209-th square number.

309368451681 is the 278105-th centered octagonal number.

It is an amenable number.

309368451681 is a deficient number, since it is larger than the sum of its proper divisors (173921196160).

309368451681 is an frugal number, since it uses more digits than its factorization.

309368451681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 309368451681 in words is "three hundred nine billion, three hundred sixty-eight million, four hundred fifty-one thousand, six hundred eighty-one".

Divisors: 1 3 9 23 27 69 81 207 529 621 1587 1863 2687 4761 8061 14283 24183 42849 61801 72549 185403 217647 556209 1421423 1668627 4264269 5005881 7219969 12792807 21659907 38378421 64979721 115135263 166059287 194939163 498177861 584817489 1494533583 3819363601 4483600749 11458090803 13450802247 34374272409 103122817227 309368451681