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328855415520 = 2535838254403
BaseRepresentation
bin1001100100100010100…
…11110110101011100000
31011102211111111000101110
410302101103312223200
520341443441244040
6411024000503320
732521225624242
oct4622123665340
91142744430343
10328855415520
11117515344045
125389901ab40
132501b032888
1411cb9564092
15884aa96980
hex4c914f6ae0

328855415520 has 96 divisors (see below), whose sum is σ = 1048375343232. Its totient is φ = 86638203392.

The previous prime is 328855415507. The next prime is 328855415527. The reversal of 328855415520 is 25514558823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 328855415520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328855415527) 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, 4087362 + ... + 4167041.

It is an arithmetic number, because the mean of its divisors is an integer number (10920576492).

Almost surely, 2328855415520 is an apocalyptic number.

328855415520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328855415520 is an abundant number, since it is smaller than the sum of its proper divisors (719519927712).

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

328855415520 is a wasteful number, since it uses less digits than its factorization.

328855415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254504 (or 8254496 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 328855415520 in words is "three hundred twenty-eight billion, eight hundred fifty-five million, four hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 8254403 16508806 24763209 33017612 41272015 49526418 66035224 82544030 99052836 123816045 132070448 165088060 198105672 247632090 264140896 330176120 396211344 495264180 660352240 685115449 792422688 990528360 1320704480 1370230898 1981056720 2055346347 2740461796 3425577245 3962113440 4110692694 5480923592 6851154490 8221385388 10276731735 10961847184 13702308980 16442770776 20553463470 21923694368 27404617960 32885541552 41106926940 54809235920 65771083104 82213853880 109618471840 164427707760 328855415520