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161510749456 = 24723124632
BaseRepresentation
bin1001011001101011001…
…0100111010100010000
3120102212221222011122111
42112122302213110100
510121233222440311
6202110315515104
714445246501400
oct2263262472420
9512787864574
10161510749456
1162550675631
1227375758a94
13122cc253904
147b62414800
15430440bd21
hex259aca7510

161510749456 has 135 divisors (see below), whose sum is σ = 376952641623. Its totient is φ = 66841346880.

The previous prime is 161510749441. The next prime is 161510749469. The reversal of 161510749456 is 654947015161.

The square root of 161510749456 is 401884.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 348835081 + ... + 348835543.

Almost surely, 2161510749456 is an apocalyptic number.

161510749456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161510749456 is the 401884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161510749456

161510749456 is an abundant number, since it is smaller than the sum of its proper divisors (215441892167).

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

161510749456 is an frugal number, since it uses more digits than its factorization.

161510749456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 161510749456 by its sum of digits (49), we get a square (7914026723344 = 28131882).

161510749456 divided by its sum of digits (49) gives a square (3296137744 = 574122).

The spelling of 161510749456 in words is "one hundred sixty-one billion, five hundred ten million, seven hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 463 496 784 868 926 961 1519 1736 1852 1922 3038 3241 3472 3704 3844 6076 6482 6727 7408 7688 12152 12964 13454 14353 15376 22687 24304 25928 26908 28706 45374 47089 51856 53816 57412 90748 94178 100471 107632 114824 181496 188356 200942 214369 229648 362992 376712 401884 428738 444943 703297 753424 803768 857476 889886 1406594 1500583 1607536 1714952 1779772 2813188 3001166 3114601 3429904 3559544 5626376 6002332 6229202 6645439 7119088 10504081 11252752 12004664 12458404 13290878 21008162 21802207 24009328 24916808 26581756 42016324 43604414 46518073 49833616 53163512 84032648 87208828 93036146 106327024 168065296 174417656 186072292 206008609 325626511 348835312 372144584 412017218 651253022 744289168 824034436 1302506044 1442060263 1648068872 2605012088 2884120526 3296137744 5210024176 5768241052 10094421841 11536482104 20188843682 23072964208 40377687364 80755374728 161510749456