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834334945976 = 237531087258611
BaseRepresentation
bin11000010010000100011…
…11001111001010111000
32221202120020101201022102
430021002033033022320
5102132204221232401
61435142125242532
7114164412012230
oct14110217171270
92852506351272
10834334945976
112a1926364904
12115849103448
13608a647825c
142c54c3d2cc0
1516a827a456b
hexc2423cf2b8

834334945976 has 64 divisors (see below), whose sum is σ = 1823276666880. Its totient is φ = 350501374080.

The previous prime is 834334945933. The next prime is 834334945981. The reversal of 834334945976 is 679549433438.

It is a super-2 number, since 2×8343349459762 (a number of 25 digits) contains 22 as substring.

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, 3096911 + ... + 3355521.

It is an arithmetic number, because the mean of its divisors is an integer number (28488697920).

Almost surely, 2834334945976 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 834334945976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911638333440).

834334945976 is an abundant number, since it is smaller than the sum of its proper divisors (988941720904).

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

834334945976 is a wasteful number, since it uses less digits than its factorization.

834334945976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259764 (or 259760 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 65.

The spelling of 834334945976 in words is "eight hundred thirty-four billion, three hundred thirty-four million, nine hundred forty-five thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1087 1484 2174 2968 4348 7609 8696 15218 30436 57611 60872 115222 230444 258611 403277 460888 517222 806554 1034444 1613108 1810277 2068888 3226216 3620554 7241108 13706383 14482216 27412766 54825532 95944681 109651064 191889362 281110157 383778724 562220314 767557448 1124440628 1967771099 2248881256 3935542198 7871084396 14898838321 15742168792 29797676642 59595353284 104291868247 119190706568 208583736494 417167472988 834334945976