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200390126772 = 2231117445120063
BaseRepresentation
bin1011101010100000101…
…1101010110010110100
3201011020112101011211010
42322220023222302310
511240344333024042
6232020303512220
720322565654563
oct2725013526264
9634215334733
10200390126772
1177a92003220
1232a062b8670
1315b870b4814
1499adc35bda
15532c83759c
hex2ea82eacb4

200390126772 has 96 divisors (see below), whose sum is σ = 540237164544. Its totient is φ = 57136576000.

The previous prime is 200390126767. The next prime is 200390126773. The reversal of 200390126772 is 277621093002.

200390126772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2003901267722 (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 200390126772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200390126773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9978013 + ... + 9998075.

It is an arithmetic number, because the mean of its divisors is an integer number (5627470464).

Almost surely, 2200390126772 is an apocalyptic number.

200390126772 is a gapful number since it is divisible by the number (22) 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 200390126772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270118582272).

200390126772 is an abundant number, since it is smaller than the sum of its proper divisors (339847037772).

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

200390126772 is a wasteful number, since it uses less digits than its factorization.

200390126772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24549 (or 24547 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 200390126772 in words is "two hundred billion, three hundred ninety million, one hundred twenty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 4451 8902 13353 17804 20063 26706 40126 48961 53412 60189 75667 80252 97922 120378 146883 151334 195844 220693 227001 240756 293766 302668 341071 441386 454002 587532 662079 682142 832337 882772 908004 1023213 1324158 1364284 1664674 2046426 2497011 2648316 3329348 3751781 4092852 4994022 7503562 9988044 11255343 15007124 22510686 45021372 89300413 178600826 267901239 357201652 535802478 982304543 1071604956 1518107021 1964609086 2946913629 3036214042 3929218172 4554321063 5893827258 6072428084 9108642126 11787654516 16699177231 18217284252 33398354462 50097531693 66796708924 100195063386 200390126772