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128995035936 = 25313937110311
BaseRepresentation
bin111100000100010110…
…1000000101100100000
3110022221212220210002120
41320020231000230200
54103140212122221
6135132015144240
712214421466654
oct1701055005440
9408855823076
10128995035936
114a785375818
1221000215080
13c21991a040
146359c28a64
15354ea015c6
hex1e08b40b20

128995035936 has 96 divisors (see below), whose sum is σ = 365051530368. Its totient is φ = 39648061440.

The previous prime is 128995035931. The next prime is 128995035941. The reversal of 128995035936 is 639530599821.

It is an interprime number because it is at equal distance from previous prime (128995035931) and next prime (128995035941).

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

It is a super-2 number, since 2×1289950359362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128995035936.

It is not an unprimeable number, because it can be changed into a prime (128995035931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114221 + ... + 1224531.

It is an arithmetic number, because the mean of its divisors is an integer number (3802620108).

Almost surely, 2128995035936 is an apocalyptic number.

128995035936 is a gapful number since it is divisible by the number (16) 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 128995035936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182525765184).

128995035936 is an abundant number, since it is smaller than the sum of its proper divisors (236056494432).

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

128995035936 is a wasteful number, since it uses less digits than its factorization.

128995035936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111274 (or 111266 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 60.

The spelling of 128995035936 in words is "one hundred twenty-eight billion, nine hundred ninety-five million, thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 937 1248 1874 2811 3748 5622 7496 11244 12181 14992 22488 24362 29984 36543 44976 48724 73086 89952 97448 110311 146172 194896 220622 292344 330933 389792 441244 584688 661866 882488 1169376 1323732 1434043 1764976 2647464 2868086 3529952 4302129 5294928 5736172 8604258 10589856 11472344 17208516 22944688 34417032 45889376 68834064 103361407 137668128 206722814 310084221 413445628 620168442 826891256 1240336884 1343698291 1653782512 2480673768 2687396582 3307565024 4031094873 4961347536 5374793164 8062189746 9922695072 10749586328 16124379492 21499172656 32248758984 42998345312 64497517968 128995035936