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825328206480 = 24356751326381
BaseRepresentation
bin11000000001010010110…
…01010000001010010000
32220220022112121221110010
430000221121100022100
5102010233010101410
61431052303434520
7113425255001421
oct14005131201220
92826275557403
10825328206480
11299024290148
12113b548b5a40
135ca9c4a84bb
142bd36145648
1516706be5c20
hexc029650290

825328206480 has 80 divisors (see below), whose sum is σ = 2596704318144. Its totient is φ = 216802629120.

The previous prime is 825328206463. The next prime is 825328206481. The reversal of 825328206480 is 84602823528.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8253282064802 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (825328206481) 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, 25647111 + ... + 25679270.

Almost surely, 2825328206480 is an apocalyptic number.

825328206480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825328206480 is an abundant number, since it is smaller than the sum of its proper divisors (1771376111664).

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

825328206480 is a wasteful number, since it uses less digits than its factorization.

825328206480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51326464 (or 51326458 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 825328206480 in words is "eight hundred twenty-five billion, three hundred twenty-eight million, two hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 51326381 102652762 153979143 205305524 256631905 307958286 410611048 513263810 615916572 769895715 821222096 1026527620 1231833144 1539791430 2053055240 2463666288 3079582860 3438867527 4106110480 6159165720 6877735054 10316602581 12318331440 13755470108 17194337635 20633205162 27510940216 34388675270 41266410324 51583012905 55021880432 68777350540 82532820648 103166025810 137554701080 165065641296 206332051620 275109402160 412664103240 825328206480