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109138566592 = 26112919926863
BaseRepresentation
bin110010110100100101…
…0100101110111000000
3101102201001110121220001
41211221022211313000
53242003433112332
6122045414125344
710612361336536
oct1455112456700
9342631417801
10109138566592
114231596a480
121919a350854
13a3a3bb77b3
1453d4a26156
152c8b6880e7
hex19692a5dc0

109138566592 has 112 divisors (see below), whose sum is σ = 245644416000. Its totient is φ = 47655336960.

The previous prime is 109138566547. The next prime is 109138566623. The reversal of 109138566592 is 295665831901.

It is a super-2 number, since 2×1091385665922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4049353 + ... + 4076215.

Almost surely, 2109138566592 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 109138566592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122822208000).

109138566592 is an abundant number, since it is smaller than the sum of its proper divisors (136505849408).

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

109138566592 is a wasteful number, since it uses less digits than its factorization.

109138566592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27114 (or 27104 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 109138566592 in words is "one hundred nine billion, one hundred thirty-eight million, five hundred sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 199 232 319 352 398 464 638 704 796 928 1276 1592 1856 2189 2552 3184 4378 5104 5771 6368 8756 10208 11542 12736 17512 20416 23084 26863 35024 46168 53726 63481 70048 92336 107452 126962 140096 184672 214904 253924 295493 369344 429808 507848 590986 779027 859616 1015696 1181972 1558054 1719232 2031392 2363944 3116108 4062784 4727888 5345737 6232216 8569297 9455776 10691474 12464432 17138594 18911552 21382948 24928864 34277188 42765896 49857728 58803107 68554376 85531792 117606214 137108752 155026373 171063584 235212428 274217504 310052746 342127168 470424856 548435008 620105492 940849712 1240210984 1705290103 1881699424 2480421968 3410580206 3763398848 4960843936 6821160412 9921687872 13642320824 27284641648 54569283296 109138566592