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61433500506 = 2376725784947
BaseRepresentation
bin111001001101101110…
…001101001101011010
312212120101222011202120
4321031232031031122
52001303434004011
644115553042110
74303244065320
oct711556151532
9185511864676
1061433500506
1124065678224
12baa5b56336
135a40738041
142d8b005d10
1518e8513a06
hexe4db8d35a

61433500506 has 64 divisors (see below), whose sum is σ = 143071460352. Its totient is φ = 17222971392.

The previous prime is 61433500493. The next prime is 61433500567. The reversal of 61433500506 is 60500533416.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680725 + ... + 765671.

It is an arithmetic number, because the mean of its divisors is an integer number (2235491568).

Almost surely, 261433500506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61433500506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71535730176).

61433500506 is an abundant number, since it is smaller than the sum of its proper divisors (81637959846).

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

61433500506 is a wasteful number, since it uses less digits than its factorization.

61433500506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85283.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 61433500506 in words is "sixty-one billion, four hundred thirty-three million, five hundred thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 257 402 469 514 771 938 1407 1542 1799 2814 3598 5397 10794 17219 34438 51657 84947 103314 120533 169894 241066 254841 361599 509682 594629 723198 1189258 1783887 3567774 5691449 11382898 17074347 21831379 34148694 39840143 43662758 65494137 79680286 119520429 130988274 152819653 239040858 305639306 458458959 916917918 1462702393 2925404786 4388107179 8776214358 10238916751 20477833502 30716750253 61433500506