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10054104340 = 2257439831699
BaseRepresentation
bin10010101110100010…
…10111010100010100
3221221200120102022211
421113101113110110
5131042322314330
64341354203204
7504102322360
oct112721272424
927850512284
1010054104340
11429a309445
121b47123504
13c42c81a87
146b54082a0
153dc9e8d2a
hex257457514

10054104340 has 96 divisors (see below), whose sum is σ = 24730675200. Its totient is φ = 3361550976.

The previous prime is 10054104331. The next prime is 10054104377. The reversal of 10054104340 is 4340145001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5916811 + ... + 5918509.

It is an arithmetic number, because the mean of its divisors is an integer number (257611200).

Almost surely, 210054104340 is an apocalyptic number.

10054104340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10054104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365337600).

10054104340 is an abundant number, since it is smaller than the sum of its proper divisors (14676570860).

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

10054104340 is a wasteful number, since it uses less digits than its factorization.

10054104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10054104340 its reverse (4340145001), we get a palindrome (14394249341).

The spelling of 10054104340 in words is "ten billion, fifty-four million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 983 1204 1505 1699 1966 3010 3398 3932 4915 6020 6796 6881 8495 9830 11893 13762 16990 19660 23786 27524 33980 34405 42269 47572 59465 68810 73057 84538 118930 137620 146114 169076 211345 237860 292228 295883 365285 422690 511399 591766 730570 845380 1022798 1183532 1461140 1479415 1670117 2045596 2556995 2958830 3340234 5113990 5917660 6680468 8350585 10227980 11690819 16701170 23381638 33402340 46763276 58454095 71815031 116908190 143630062 233816380 287260124 359075155 502705217 718150310 1005410434 1436300620 2010820868 2513526085 5027052170 10054104340