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61283540736 = 283311806023
BaseRepresentation
bin111001000100110010…
…001001111100000000
312212011221210102122000
4321010302021330000
52001002041300421
644053034544000
74266443333655
oct710462117400
9185157712560
1061283540736
1123a98a63230
12ba63898000
135a18651552
142d7512bc2c
1518da291226
hexe44c89f00

61283540736 has 144 divisors (see below), whose sum is σ = 197701566720. Its totient is φ = 18570746880.

The previous prime is 61283540699. The next prime is 61283540753. The reversal of 61283540736 is 63704538216.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 61283540691 and 61283540700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326980 + ... + 479043.

Almost surely, 261283540736 is an apocalyptic number.

61283540736 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61283540736 is an abundant number, since it is smaller than the sum of its proper divisors (136418025984).

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

61283540736 is a wasteful number, since it uses less digits than its factorization.

61283540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806059 (or 806039 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 61283540736 in words is "sixty-one billion, two hundred eighty-three million, five hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 76032 806023 1612046 2418069 3224092 4836138 6448184 7254207 8866253 9672276 12896368 14508414 17732506 19344552 21762621 25792736 26598759 29016828 35465012 38689104 43525242 51585472 53197518 58033656 70930024 77378208 79796277 87050484 103170944 106395036 116067312 141860048 154756416 159592554 174100968 206341888 212790072 232134624 239388831 283720096 309512832 319185108 348201936 425580144 464269248 478777662 567440192 619025664 638370216 696403872 851160288 928538496 957555324 1134880384 1276740432 1392807744 1702320576 1857076992 1915110648 2269760768 2553480864 2785615488 3404641152 3830221296 5106961728 5571230976 6809282304 7660442592 10213923456 15320885184 20427846912 30641770368 61283540736