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328355173120 = 2851322786929
BaseRepresentation
bin1001100011100110111…
…11100101001100000000
31011101112122012001211011
410301303133211030000
520334432411014440
6410502210530304
732502642630502
oct4616337451400
91141478161734
10328355173120
11117288a31577
1253779596994
1324c6b4c4360
1411c6cd47d72
15881bbd19ea
hex4c737e5300

328355173120 has 144 divisors (see below), whose sum is σ = 850755396960. Its totient is φ = 120703352832.

The previous prime is 328355173087. The next prime is 328355173121. The reversal of 328355173120 is 21371553823.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (328355173121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3733816 + ... + 3820744.

It is an arithmetic number, because the mean of its divisors is an integer number (5908023590).

Almost surely, 2328355173120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328355173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425377698480).

328355173120 is an abundant number, since it is smaller than the sum of its proper divisors (522400223840).

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

328355173120 is a wasteful number, since it uses less digits than its factorization.

328355173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87190 (or 87176 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 328355173120 in words is "three hundred twenty-eight billion, three hundred fifty-five million, one hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 227 256 260 320 416 454 520 640 832 908 1040 1135 1280 1664 1816 2080 2270 2951 3328 3632 4160 4540 5902 7264 8320 9080 11804 14528 14755 16640 18160 23608 29056 29510 36320 47216 58112 59020 72640 86929 94432 118040 145280 173858 188864 236080 290560 347716 377728 434645 472160 695432 755456 869290 944320 1130077 1390864 1738580 1888640 2260154 2781728 3477160 3777280 4520308 5563456 5650385 6954320 9040616 11126912 11300770 13908640 18081232 19732883 22253824 22601540 27817280 36162464 39465766 45203080 55634560 72324928 78931532 90406160 98664415 111269120 144649856 157863064 180812320 197328830 256527479 289299712 315726128 361624640 394657660 513054958 631452256 723249280 789315320 1026109916 1262904512 1282637395 1446498560 1578630640 2052219832 2525809024 2565274790 3157261280 4104439664 5051618048 5130549580 6314522560 8208879328 10261099160 12629045120 16417758656 20522198320 25258090240 32835517312 41044396640 65671034624 82088793280 164177586560 328355173120