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163885325472 = 25321177366923
BaseRepresentation
bin1001100010100001010…
…0111001110010100000
3120200000110011010120100
42120220110321302200
510141114120403342
6203142103142400
714561142165501
oct2305024716240
9520013133510
10163885325472
1163559aa2750
1227918a44a00
13125ba1aa38b
147d09936ba8
1543e2b0ee4c
hex2628539ca0

163885325472 has 144 divisors (see below), whose sum is σ = 509082301728. Its totient is φ = 49597232640.

The previous prime is 163885325467. The next prime is 163885325473. The reversal of 163885325472 is 274523588361.

163885325472 is a `hidden beast` number, since 1 + 6 + 38 + 8 + 532 + 5 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1638853254723 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (163885325473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2415403 + ... + 2482325.

It is an arithmetic number, because the mean of its divisors is an integer number (3535293762).

Almost surely, 2163885325472 is an apocalyptic number.

163885325472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163885325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254541150864).

163885325472 is an abundant number, since it is smaller than the sum of its proper divisors (345196976256).

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

163885325472 is a wasteful number, since it uses less digits than its factorization.

163885325472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67723 (or 67712 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 163885325472 in words is "one hundred sixty-three billion, eight hundred eighty-five million, three hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 773 792 1056 1546 1584 2319 3092 3168 4638 6184 6957 8503 9276 12368 13914 17006 18552 24736 25509 27828 34012 37104 51018 55656 66923 68024 74208 76527 102036 111312 133846 136048 153054 200769 204072 222624 267692 272096 306108 401538 408144 535384 602307 612216 736153 803076 816288 1070768 1204614 1224432 1472306 1606152 2141536 2208459 2409228 2448864 2944612 3212304 4416918 4818456 5889224 6424608 6625377 8833836 9636912 11778448 13250754 17667672 19273824 23556896 26501508 35335344 51731479 53003016 70670688 103462958 106006032 155194437 206925916 212012064 310388874 413851832 465583311 569046269 620777748 827703664 931166622 1138092538 1241555496 1655407328 1707138807 1862333244 2276185076 2483110992 3414277614 3724666488 4552370152 4966221984 5121416421 6828555228 7449332976 9104740304 10242832842 13657110456 14898665952 18209480608 20485665684 27314220912 40971331368 54628441824 81942662736 163885325472