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133040881656 = 233243199215939
BaseRepresentation
bin111101111100111011…
…0101011111111111000
3110201101211220001001100
41323321312223333320
54134431431203111
6141041303451400
712416606556354
oct1737166537770
9421354801040
10133040881656
1151471122571
122194b156b60
13c712ba0ca7
1466212b4464
1536d9cd0756
hex1ef9dabff8

133040881656 has 96 divisors (see below), whose sum is σ = 370553040000. Its totient is φ = 43097769792.

The previous prime is 133040881651. The next prime is 133040881669. The reversal of 133040881656 is 656188040331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133040881651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508135 + ... + 724073.

It is an arithmetic number, because the mean of its divisors is an integer number (3859927500).

Almost surely, 2133040881656 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 133040881656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185276520000).

133040881656 is an abundant number, since it is smaller than the sum of its proper divisors (237512158344).

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

133040881656 is a wasteful number, since it uses less digits than its factorization.

133040881656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216193 (or 216186 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 133040881656 in words is "one hundred thirty-three billion, forty million, eight hundred eighty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 199 258 344 387 398 516 597 774 796 1032 1194 1548 1592 1791 2388 3096 3582 4776 7164 8557 14328 17114 25671 34228 51342 68456 77013 102684 154026 205368 215939 308052 431878 616104 647817 863756 1295634 1727512 1943451 2591268 3886902 5182536 7773804 9285377 15547608 18570754 27856131 37141508 42971861 55712262 74283016 83568393 85943722 111424524 128915583 167136786 171887444 222849048 257831166 334273572 343774888 386746749 515662332 668547144 773493498 1031324664 1546986996 1847790023 3093973992 3695580046 5543370069 7391160092 11086740138 14782320184 16630110207 22173480276 33260220414 44346960552 66520440828 133040881656