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11729837922 = 23111725141651
BaseRepresentation
bin10101110110010011…
…10001111101100010
31010021110202111122120
422323021301331202
5143010314303142
65215535045110
7563450656125
oct127311617542
933243674576
1011729837922
114a7a207930
122334370796
13114c1b2cca
147d3bb43bc
15489ba77ec
hex2bb271f62

11729837922 has 64 divisors (see below), whose sum is σ = 27206419968. Its totient is φ = 3332000000.

The previous prime is 11729837881. The next prime is 11729837923. The reversal of 11729837922 is 22973892711.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (11729837923) 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, 260797 + ... + 302447.

It is an arithmetic number, because the mean of its divisors is an integer number (425100312).

Almost surely, 211729837922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11729837922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603209984).

11729837922 is an abundant number, since it is smaller than the sum of its proper divisors (15476582046).

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

11729837922 is a wasteful number, since it uses less digits than its factorization.

11729837922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41935.

The product of its digits is 762048, while the sum is 51.

The spelling of 11729837922 in words is "eleven billion, seven hundred twenty-nine million, eight hundred thirty-seven thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 251 374 502 561 753 1122 1506 2761 4267 5522 8283 8534 12801 16566 25602 41651 46937 83302 93874 124953 140811 249906 281622 458161 708067 916322 1374483 1416134 2124201 2748966 4248402 7788737 10454401 15577474 20908802 23366211 31363203 46732422 62726406 114998411 177724817 229996822 344995233 355449634 533174451 689990466 1066348902 1954972987 3909945974 5864918961 11729837922