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109750391424 = 273429365017
BaseRepresentation
bin110011000110110100…
…0100001001010000000
3101111021200201112210000
41212031220201022000
53244232100011144
6122230231440000
710633500635442
oct1461550411200
9344250645700
10109750391424
11425aa264533
121932b226000
13a47089371b
145451daa492
152cc523e769
hex198da21280

109750391424 has 160 divisors (see below), whose sum is σ = 337878911700. Its totient is φ = 35321868288.

The previous prime is 109750391393. The next prime is 109750391437. The reversal of 109750391424 is 424193057901.

109750391424 is a `hidden beast` number, since 1 + 0 + 97 + 50 + 3 + 91 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103534645824 + 6215745600 = 321768^2 + 78840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109750391424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118164 + ... + 483180.

Almost surely, 2109750391424 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 109750391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168939455850).

109750391424 is an abundant number, since it is smaller than the sum of its proper divisors (228128520276).

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

109750391424 is an equidigital number, since it uses as much as digits as its factorization.

109750391424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365072 (or 365051 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 109750391424 in words is "one hundred nine billion, seven hundred fifty million, three hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3456 3712 4176 4698 5184 5568 6264 8352 9396 10368 11136 12528 16704 18792 25056 33408 37584 50112 75168 100224 150336 300672 365017 730034 1095051 1460068 2190102 2920136 3285153 4380204 5840272 6570306 8760408 9855459 10585493 11680544 13140612 17520816 19710918 21170986 23361088 26281224 29566377 31756479 35041632 39421836 42341972 46722176 52562448 59132754 63512958 70083264 78843672 84683944 95269437 105124896 118265508 127025916 140166528 157687344 169367888 190538874 210249792 236531016 254051832 285808311 315374688 338735776 381077748 420499584 473062032 508103664 571616622 630749376 677471552 762155496 857424933 946124064 1016207328 1143233244 1261498752 1354943104 1524310992 1714849866 1892248128 2032414656 2286466488 3048621984 3429699732 3784496256 4064829312 4572932976 6097243968 6859399464 9145865952 12194487936 13718798928 18291731904 27437597856 36583463808 54875195712 109750391424