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102828220476 = 223192791132659
BaseRepresentation
bin101111111000100001…
…0100010000000111100
3100211102021102211101020
41133301002202000330
53141043011023401
6115123313344140
710300115311152
oct1376102420074
9324367384336
10102828220476
113a677938aa3
1217b18b68050
13990973a997
144d9690d3d2
152a1c69ad36
hex17f10a203c

102828220476 has 144 divisors (see below), whose sum is σ = 258797145600. Its totient is φ = 31765353984.

The previous prime is 102828220471. The next prime is 102828220477. The reversal of 102828220476 is 674022828201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102828220471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38670435 + ... + 38673093.

It is an arithmetic number, because the mean of its divisors is an integer number (1797202400).

Almost surely, 2102828220476 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 102828220476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129398572800).

102828220476 is an abundant number, since it is smaller than the sum of its proper divisors (155968925124).

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

102828220476 is a wasteful number, since it uses less digits than its factorization.

102828220476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 102828220476 in words is "one hundred two billion, eight hundred twenty-eight million, two hundred twenty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 113 114 158 226 228 237 316 339 361 452 474 678 722 948 1083 1356 1444 1501 2147 2166 2659 3002 4294 4332 4503 5318 6004 6441 7977 8588 8927 9006 10636 12882 15954 17854 18012 25764 26781 28519 31908 35708 40793 50521 53562 57038 81586 85557 101042 107124 114076 122379 151563 163172 169613 171114 202084 210061 244758 300467 303126 339226 342228 420122 489516 508839 600934 606252 630183 678452 840244 901401 959899 1017678 1201868 1260366 1802802 1919798 2035356 2520732 2879697 3222647 3605604 3839596 3991159 5708873 5759394 6445294 7982318 9667941 11417746 11518788 11973477 12890588 15964636 17126619 19335882 22835492 23736893 23946954 34253238 38671764 47473786 47893908 68506476 71210679 75832021 94947572 108468587 142421358 151664042 216937174 227496063 284842716 303328084 325405761 433874348 451000967 454992126 650811522 902001934 909984252 1301623044 1353002901 1804003868 2706005802 5412011604 8569018373 17138036746 25707055119 34276073492 51414110238 102828220476