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2333129046136 = 2375910315145403
BaseRepresentation
bin100001111100111001010…
…100111111100001111000
322021001012202220210102221
4201330321110333201320
5301211222013434021
64543454044333424
7330364053450640
oct41747124774170
98231182823387
102333129046136
1181a524581859
12318214244274
1313c022ab2b55
1480cd1835520
1540a53d4a241
hex21f3953f878

2333129046136 has 128 divisors (see below), whose sum is σ = 5167774310400. Its totient is φ = 966953635200.

The previous prime is 2333129046091. The next prime is 2333129046137. The reversal of 2333129046136 is 6316409213332.

It is a super-2 number, since 2×23331290461362 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2333129046092 and 2333129046101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2333129046137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51364411 + ... + 51409813.

It is an arithmetic number, because the mean of its divisors is an integer number (40373236800).

Almost surely, 22333129046136 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 2333129046136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583887155200).

2333129046136 is an abundant number, since it is smaller than the sum of its proper divisors (2834645264264).

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

2333129046136 is a wasteful number, since it uses less digits than its factorization.

2333129046136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45729 (or 45725 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 43.

The spelling of 2333129046136 in words is "two trillion, three hundred thirty-three billion, one hundred twenty-nine million, forty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 59 103 118 151 206 236 302 412 413 472 604 721 824 826 1057 1208 1442 1652 2114 2884 3304 4228 5768 6077 8456 8909 12154 15553 17818 24308 31106 35636 42539 45403 48616 62212 62363 71272 85078 90806 108871 124424 124726 170156 181612 217742 249452 317821 340312 363224 435484 498904 635642 870968 917627 1271284 1835254 2542568 2678777 3670508 4676509 5357554 6423389 6855853 7341016 9353018 10715108 12846778 13711706 18706036 18751439 21430216 25693556 27423412 32735563 37412072 37502878 47990971 51387112 54846824 65471126 75005756 95981942 130942252 150011512 191963884 261884504 275914031 383927768 404495327 551828062 706152859 808990654 1103656124 1412305718 1617981308 1931398217 2207312248 2824611436 2831467289 3235962616 3862796434 4943070013 5649222872 5662934578 7725592868 9886140026 11325869156 15451185736 19772280052 22651738312 39544560104 41663018681 83326037362 166652074724 291641130767 333304149448 583282261534 1166564523068 2333129046136