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133131355153644 = 223101233507792857
BaseRepresentation
bin11110010001010100001111…
…001000011110010011101100
3122110101020022001011202011110
4132101110033020132103230
5114422211003404404034
61151051411130152020
740020265042304301
oct3621241710362354
9573336261152143
10133131355153644
1139468766291021
1212b218b9582610
135939304965973
1424c384051b0a8
15105d0baad7de9
hex79150f21e4ec

133131355153644 has 96 divisors (see below), whose sum is σ = 315127339240896. Its totient is φ = 43740078796800.

The previous prime is 133131355153613. The next prime is 133131355153663. The reversal of 133131355153644 is 446351553131331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133131355153593 and 133131355153602.

It is an unprimeable number.

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, 1433678064 + ... + 1433770920.

It is an arithmetic number, because the mean of its divisors is an integer number (3282576450426).

Almost surely, 2133131355153644 is an apocalyptic number.

It is an amenable number.

133131355153644 is an abundant number, since it is smaller than the sum of its proper divisors (181995984087252).

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

133131355153644 is a wasteful number, since it uses less digits than its factorization.

133131355153644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98275 (or 98273 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 48.

The spelling of 133131355153644 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, three hundred fifty-five million, one hundred fifty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 101 202 233 303 404 466 606 699 932 1212 1398 2796 5077 10154 15231 20308 23533 30462 47066 60924 70599 92857 94132 141198 185714 278571 282396 371428 512777 557142 1025554 1114284 1182941 1538331 2051108 2365882 3076662 3548823 4731764 6153324 7097646 9378557 14195292 18757114 21635681 28135671 37514228 43271362 56271342 64907043 86542724 112542684 119477041 129814086 238954082 259628172 358431123 471434989 477908164 716862246 942869978 1414304967 1433724492 1885739956 2185203781 2828609934 4370407562 5657219868 6555611343 8740815124 13111222686 26222445372 47614933889 95229867778 109844352437 142844801667 190459735556 219688704874 285689603334 329533057311 439377409748 571379206668 659066114622 1318132229244 11094279596137 22188559192274 33282838788411 44377118384548 66565677576822 133131355153644