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161466432048 = 2433193332
BaseRepresentation
bin1001011001100000100…
…1100011101000110000
3120102202212120121121000
42112120021203220300
510121140401311143
6202102054002000
714444201012205
oct2263011435060
9512685517530
10161466432048
1162528656279
1227362946300
13122c3007bac
147b5a599cac
1543005a5bd3
hex2598263a30

161466432048 has 60 divisors (see below), whose sum is σ = 463492436520. Its totient is φ = 53819360064.

The previous prime is 161466432031. The next prime is 161466432077. The reversal of 161466432048 is 840234664161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

161466432048 is a `hidden beast` number, since 1 + 614 + 6 + 6 + 4 + 3 + 20 + 4 + 8 = 666.

It is a super-2 number, since 2×1614664320482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161466431994 and 161466432012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8342190 + ... + 8361522.

It is an arithmetic number, because the mean of its divisors is an integer number (7724873942).

Almost surely, 2161466432048 is an apocalyptic number.

161466432048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

161466432048 is an abundant number, since it is smaller than the sum of its proper divisors (302026004472).

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

161466432048 is an frugal number, since it uses more digits than its factorization.

161466432048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38683 (or 19338 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 161466432048 in words is "one hundred sixty-one billion, four hundred sixty-six million, four hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 19333 38666 57999 77332 115998 154664 173997 231996 309328 347994 463992 521991 695988 927984 1043982 1391976 2087964 2783952 4175928 8351856 373764889 747529778 1121294667 1495059556 2242589334 2990119112 3363884001 4485178668 5980238224 6727768002 8970357336 10091652003 13455536004 17940714672 20183304006 26911072008 40366608012 53822144016 80733216024 161466432048