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128953369952 = 25111795773547
BaseRepresentation
bin111100000011000111…
…0000100010101100000
3110022211222111221002222
41320012032010111200
54103044030314302
6135123530130212
712213404362541
oct1700616042540
9408758457088
10128953369952
114a7638a7520
1220baa280968
13c2110bc104
1463544a04c8
15354b020da2
hex1e06384560

128953369952 has 96 divisors (see below), whose sum is σ = 279065243520. Its totient is φ = 58170286080.

The previous prime is 128953369943. The next prime is 128953369973. The reversal of 128953369952 is 259963359821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36353843 + ... + 36357389.

It is an arithmetic number, because the mean of its divisors is an integer number (2906929620).

Almost surely, 2128953369952 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 128953369952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139532621760).

128953369952 is an abundant number, since it is smaller than the sum of its proper divisors (150111873568).

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

128953369952 is a wasteful number, since it uses less digits than its factorization.

128953369952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4316 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 62.

The spelling of 128953369952 in words is "one hundred twenty-eight billion, nine hundred fifty-three million, three hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 179 352 358 577 716 1154 1432 1969 2308 2864 3547 3938 4616 5728 6347 7094 7876 9232 12694 14188 15752 18464 25388 28376 31504 39017 50776 56752 63008 78034 101552 103283 113504 156068 203104 206566 312136 413132 624272 634913 826264 1136113 1248544 1269826 1652528 2046619 2272226 2539652 3305056 4093238 4544452 5079304 6984043 8186476 9088904 10158608 13968086 16372952 18177808 20317216 22512809 27936172 32745904 36355616 45025618 55872344 65491808 90051236 111744688 180102472 223489376 360204944 366344801 720409888 732689602 1465379204 2930758408 4029792811 5861516816 8059585622 11723033632 16119171244 32238342488 64476684976 128953369952