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61264466560 = 2751131327803
BaseRepresentation
bin111001000011101001…
…011001001010000000
312212010121220100210001
4321003221121022000
52000432200412220
644051114045344
74266122242063
oct710351311200
9185117810701
1061264466560
1123a89215550
12ba59419854
135a1470365b
142d727a48da
1518d877480a
hexe43a59280

61264466560 has 128 divisors (see below), whose sum is σ = 160291172160. Its totient is φ = 22206013440.

The previous prime is 61264466507. The next prime is 61264466579. The reversal of 61264466560 is 6566446216.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 61264466560.

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, 2189619 + ... + 2217421.

Almost surely, 261264466560 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 61264466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80145586080).

61264466560 is an abundant number, since it is smaller than the sum of its proper divisors (99026705600).

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

61264466560 is a wasteful number, since it uses less digits than its factorization.

61264466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28146 (or 28134 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 61264466560 in words is "sixty-one billion, two hundred sixty-four million, four hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 313 320 352 440 626 640 704 880 1252 1408 1565 1760 2504 3130 3443 3520 5008 6260 6886 7040 10016 12520 13772 17215 20032 25040 27544 27803 34430 40064 50080 55088 55606 68860 100160 110176 111212 137720 139015 200320 220352 222424 275440 278030 305833 440704 444848 550880 556060 611666 889696 1101760 1112120 1223332 1529165 1779392 2203520 2224240 2446664 3058330 3558784 4448480 4893328 6116660 8702339 8896960 9786656 12233320 17404678 17793920 19573312 24466640 34809356 39146624 43511695 48933280 69618712 87023390 95725729 97866560 139237424 174046780 191451458 195733120 278474848 348093560 382902916 478628645 556949696 696187120 765805832 957257290 1113899392 1392374240 1531611664 1914514580 2784748480 3063223328 3829029160 5569496960 6126446656 7658058320 12252893312 15316116640 30632233280 61264466560