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10073374340 = 2259715733073
BaseRepresentation
bin10010110000110101…
…10111111010000100
3222000000211102210112
421120122313322010
5131112240434330
64343323212152
7504425161211
oct113032677204
928000742715
1010073374340
1142aa180267
121b51677058
13c46c6ab43
146b7bc2b08
153de553795
hex2586b7e84

10073374340 has 48 divisors (see below), whose sum is σ = 21508948272. Its totient is φ = 3962290176.

The previous prime is 10073374321. The next prime is 10073374379. The reversal of 10073374340 is 4347337001.

10073374340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 468982336 + 9604392004 = 21656^2 + 98002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10073374297 and 10073374306.

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, 288044 + ... + 321116.

It is an arithmetic number, because the mean of its divisors is an integer number (448103089).

Almost surely, 210073374340 is an apocalyptic number.

10073374340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10073374340 is an abundant number, since it is smaller than the sum of its proper divisors (11435573932).

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

10073374340 is a wasteful number, since it uses less digits than its factorization.

10073374340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336 (or 33334 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The spelling of 10073374340 in words is "ten billion, seventy-three million, three hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 157 194 314 388 485 628 785 970 1570 1940 3140 15229 30458 33073 60916 66146 76145 132292 152290 165365 304580 330730 661460 3208081 5192461 6416162 10384922 12832324 16040405 20769844 25962305 32080810 51924610 64161620 103849220 503668717 1007337434 2014674868 2518343585 5036687170 10073374340