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200828940012 = 2232233458501
BaseRepresentation
bin1011101100001001010…
…1100110111011101100
3201012101010002012102100
42323002111212323230
511242244202040022
6232132021055100
720336504552511
oct2730225467354
9635333065370
10200828940012
1178197779098
1232b09257490
1315c26c9571c
149a12221308
1553561161ac
hex2ec2566eec

200828940012 has 72 divisors (see below), whose sum is σ = 530725235040. Its totient is φ = 64032276000.

The previous prime is 200828940007. The next prime is 200828940077. The reversal of 200828940012 is 210049828002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208762 + ... + 667262.

It is an arithmetic number, because the mean of its divisors is an integer number (7371183820).

Almost surely, 2200828940012 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 200828940012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265362617520).

200828940012 is an abundant number, since it is smaller than the sum of its proper divisors (329896295028).

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

200828940012 is a wasteful number, since it uses less digits than its factorization.

200828940012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458580 (or 458529 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 200828940012 in words is "two hundred billion, eight hundred twenty-eight million, nine hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 12167 19044 24334 36501 48668 73002 109503 146004 219006 438012 458501 917002 1375503 1834004 2751006 4126509 5502012 8253018 10545523 16506036 21091046 31636569 42182092 63273138 94909707 126546276 189819414 242547029 379638828 485094058 727641087 970188116 1455282174 2182923261 2910564348 4365846522 5578581667 8731693044 11157163334 16735745001 22314326668 33471490002 50207235003 66942980004 100414470006 200828940012