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4120763094 = 2327210942863
BaseRepresentation
bin1111010110011101…
…1101101011010110
3101122011221110021100
43311213131223112
531414403404334
61520522130530
7204054623400
oct36547355326
911564843240
104120763094
111825077338
12970050a46
13508954a76
142b13cbb70
15191b7bc99
hexf59ddad6

4120763094 has 72 divisors (see below), whose sum is σ = 10481533920. Its totient is φ = 1166532192.

The previous prime is 4120763081. The next prime is 4120763159. The reversal of 4120763094 is 4903670214.

4120763094 is a `hidden beast` number, since 4 + 12 + 0 + 7 + 630 + 9 + 4 = 666.

It is a super-3 number, since 3×41207630943 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74707 + ... + 117569.

It is an arithmetic number, because the mean of its divisors is an integer number (145576860).

Almost surely, 24120763094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120763094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240766960).

4120763094 is an abundant number, since it is smaller than the sum of its proper divisors (6360770826).

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

4120763094 is a wasteful number, since it uses less digits than its factorization.

4120763094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42994 (or 42984 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4120763094 is about 64193.1701507255. The cubic root of 4120763094 is about 1603.2178851189.

The spelling of 4120763094 in words is "four billion, one hundred twenty million, seven hundred sixty-three thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 109 126 147 218 294 327 441 654 763 882 981 1526 1962 2289 4578 5341 6867 10682 13734 16023 32046 42863 48069 85726 96138 128589 257178 300041 385767 600082 771534 900123 1800246 2100287 2700369 4200574 4672067 5400738 6300861 9344134 12601722 14016201 18902583 28032402 32704469 37805166 42048603 65408938 84097206 98113407 196226814 228931283 294340221 457862566 588680442 686793849 1373587698 2060381547 4120763094