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133640714550 = 23527232240599
BaseRepresentation
bin111110001110110011…
…0110111100100110110
3110202221122120201002110
41330131212313210312
54142144010331200
6141221012151450
712440512221330
oct1743546674466
9422848521073
10133640714550
1151749776932
1221a98008586
13c7aa23b7b5
14667ac16450
1537227b8b50
hex1f1d9b7936

133640714550 has 144 divisors (see below), whose sum is σ = 395962156800. Its totient is φ = 29218221120.

The previous prime is 133640714539. The next prime is 133640714567. The reversal of 133640714550 is 55417046331.

It is a junction number, because it is equal to n+sod(n) for n = 133640714499 and 133640714508.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 435151 + ... + 675749.

It is an arithmetic number, because the mean of its divisors is an integer number (2749737200).

Almost surely, 2133640714550 is an apocalyptic number.

133640714550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133640714550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197981078400).

133640714550 is an abundant number, since it is smaller than the sum of its proper divisors (262321442250).

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

133640714550 is a wasteful number, since it uses less digits than its factorization.

133640714550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240667 (or 240639 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 133640714550 in words is "one hundred thirty-three billion, six hundred forty million, seven hundred fourteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 138 150 161 175 210 230 322 345 350 483 525 529 575 690 805 966 1050 1058 1150 1587 1610 1725 2415 2645 3174 3450 3703 4025 4830 5290 7406 7935 8050 11109 12075 13225 15870 18515 22218 24150 26450 37030 39675 55545 79350 92575 111090 185150 240599 277725 481198 555450 721797 1202995 1443594 1684193 2405990 3368386 3608985 5052579 5533777 6014975 7217970 8420965 10105158 11067554 12029950 16601331 16841930 18044925 25262895 27668885 33202662 36089850 38736439 42104825 50525790 55337770 77472878 83006655 84209650 116209317 126314475 127276871 138344425 166013310 193682195 232418634 252628950 254553742 276688850 381830613 387364390 415033275 581046585 636384355 763661226 830066550 890938097 968410975 1162093170 1272768710 1781876194 1909153065 1936821950 2672814291 2905232925 3181921775 3818306130 4454690485 5345628582 5810465850 6363843550 8909380970 9545765325 13364071455 19091530650 22273452425 26728142910 44546904850 66820357275 133640714550