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9199905124992 = 273367487134047
BaseRepresentation
bin1000010111100000010100…
…0100111011001010000000
31012120111120012120100210120
42011320011010323022000
52201212401202444432
631322213355100240
71636446140203611
oct205700504731200
935514505510716
109199905124992
112a2772666932a
121047005741680
13519716640cba
1423b3c634bc08
1510e49d65ec2c
hex85e0513b280

9199905124992 has 128 divisors (see below), whose sum is σ = 24554333552640. Its totient is φ = 3051976485888.

The previous prime is 9199905124933. The next prime is 9199905125017. The reversal of 9199905124992 is 2994215099919.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68564913 + ... + 68698959.

It is an arithmetic number, because the mean of its divisors is an integer number (191830730880).

Almost surely, 29199905124992 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 9199905124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277166776320).

9199905124992 is an abundant number, since it is smaller than the sum of its proper divisors (15354428427648).

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

9199905124992 is a wasteful number, since it uses less digits than its factorization.

9199905124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134918 (or 134906 counting only the distinct ones).

The product of its (nonzero) digits is 42515280, while the sum is 69.

The spelling of 9199905124992 in words is "nine trillion, one hundred ninety-nine billion, nine hundred five million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 367 384 487 734 974 1101 1461 1468 1948 2202 2922 2936 3896 4404 5844 5872 7792 8808 11688 11744 15584 17616 23376 23488 31168 35232 46752 46976 62336 70464 93504 134047 140928 178729 187008 268094 357458 402141 536187 536188 714916 804282 1072374 1072376 1429832 1608564 2144748 2144752 2859664 3217128 4289496 4289504 5719328 6434256 8578992 8579008 11438656 12868512 17157984 17158016 22877312 25737024 34315968 49195249 51474048 65280889 68631936 98390498 130561778 147585747 195842667 196780996 261123556 295171494 391685334 393561992 522247112 590342988 783370668 787123984 1044494224 1180685976 1566741336 1574247968 2088988448 2361371952 3133482672 3148495936 4177976896 4722743904 6266965344 6296991872 8355953792 9445487808 12533930688 18890975616 23958086263 25067861376 47916172526 71874258789 95832345052 143748517578 191664690104 287497035156 383329380208 574994070312 766658760416 1149988140624 1533317520832 2299976281248 3066635041664 4599952562496 9199905124992