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468476747674780 = 2251337431132516433
BaseRepresentation
bin110101010000100111011111…
…0001000010111010010011100
32021102201221101000220020111111
41222201032332020113102130
5442401010334401043110
64340211125150431404
7200451220350312235
oct15241167610272234
92242657330806444
10468476747674780
111262a8966998329
1244661b22b02564
1317153224704130
14839857763208c
15392624e226e8a
hex1aa13be21749c

468476747674780 has 96 divisors (see below), whose sum is σ = 1113417676857024. Its totient is φ = 164387025137664.

The previous prime is 468476747674759. The next prime is 468476747674781. The reversal of 468476747674780 is 87476747674864.

It is a super-2 number, since 2×4684767476747802 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468476747674781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565844557 + ... + 566671876.

It is an arithmetic number, because the mean of its divisors is an integer number (11598100800594).

Almost surely, 2468476747674780 is an apocalyptic number.

It is an amenable number.

468476747674780 is an abundant number, since it is smaller than the sum of its proper divisors (644940929182244).

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

468476747674780 is a wasteful number, since it uses less digits than its factorization.

468476747674780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132516535 (or 1132516533 counting only the distinct ones).

The product of its (nonzero) digits is 59479031808, while the sum is 85.

The spelling of 468476747674780 in words is "four hundred sixty-eight trillion, four hundred seventy-six billion, seven hundred forty-seven million, six hundred seventy-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 43 52 65 74 86 130 148 172 185 215 260 370 430 481 559 740 860 962 1118 1591 1924 2236 2405 2795 3182 4810 5590 6364 7955 9620 11180 15910 20683 31820 41366 82732 103415 206830 413660 1132516433 2265032866 4530065732 5662582165 11325164330 14722713629 22650328660 29445427258 41903108021 48698206619 58890854516 73613568145 83806216042 97396413238 147227136290 167612432084 194792826476 209515540105 243491033095 294454272580 419031080210 486982066190 544740404273 633076686047 838062160420 973964132380 1089480808546 1266153372094 1801833644903 2178961617092 2532306744188 2723702021365 3165383430235 3603667289806 5447404042730 6330766860470 7207334579612 9009168224515 10894808085460 12661533720940 18018336449030 23423837383739 36036672898060 46847674767478 93695349534956 117119186918695 234238373837390 468476747674780