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61760345136 = 24377116092
BaseRepresentation
bin111001100001001101…
…000001010000110000
312220102011222121022020
4321201031001100300
52002441122021021
644212230311440
74314323162160
oct714115012060
9186364877266
1061760345136
1124213117456
12bb774b8580
135a93374829
142dbc5a65a0
1519170767c6
hexe61341430

61760345136 has 120 divisors (see below), whose sum is σ = 185023229184. Its totient is φ = 17386467840.

The previous prime is 61760345123. The next prime is 61760345161. The reversal of 61760345136 is 63154306716.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38383500 + ... + 38385108.

Almost surely, 261760345136 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 61760345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92511614592).

61760345136 is an abundant number, since it is smaller than the sum of its proper divisors (123262884048).

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

61760345136 is an equidigital number, since it uses as much as digits as its factorization.

61760345136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 61760345136 in words is "sixty-one billion, seven hundred sixty million, three hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1609 1704 1988 2982 3218 3408 3976 4827 5964 6436 7952 9654 11263 11928 12872 19308 22526 23856 25744 33789 38616 45052 67578 77232 90104 114239 135156 180208 228478 270312 342717 456956 540624 685434 799673 913912 1370868 1599346 1827824 2399019 2588881 2741736 3198692 4798038 5177762 5483472 6397384 7766643 9596076 10355524 12794768 15533286 18122167 19192152 20711048 31066572 36244334 38384304 41422096 54366501 62133144 72488668 108733002 124266288 144977336 183810551 217466004 289954672 367621102 434932008 551431653 735242204 869864016 1102863306 1286673857 1470484408 2205726612 2573347714 2940968816 3860021571 4411453224 5146695428 7720043142 8822906448 10293390856 15440086284 20586781712 30880172568 61760345136