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61256265216 = 29342539377
BaseRepresentation
bin111001000011001010…
…000110111000000000
312212010001110200122120
4321003022012320000
52000423100441331
644050222204240
74265662443336
oct710312067000
9185101420576
1061256265216
1123a84623783
12ba56723680
135a12ac16a3
142d7166bb56
1518d7ba4796
hexe43286e00

61256265216 has 80 divisors (see below), whose sum is σ = 163246297104. Its totient is φ = 20411777024.

The previous prime is 61256265199. The next prime is 61256265241.

It is a happy number.

61256265216 is nontrivially palindromic in base 10.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6527920 + ... + 6537296.

Almost surely, 261256265216 is an apocalyptic number.

It is an amenable number.

61256265216 is an abundant number, since it is smaller than the sum of its proper divisors (101990031888).

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

61256265216 is an equidigital number, since it uses as much as digits as its factorization.

61256265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651 (or 13635 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 61256265216 in words is "sixty-one billion, two hundred fifty-six million, two hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 4253 8506 9377 12759 17012 18754 25518 28131 34024 37508 51036 56262 68048 75016 102072 112524 136096 150032 204144 225048 272192 300064 408288 450096 544384 600128 816576 900192 1088768 1200256 1633152 1800384 2177536 2400512 3266304 3600768 4801024 6532608 7201536 14403072 39880381 79760762 119641143 159521524 239282286 319043048 478564572 638086096 957129144 1276172192 1914258288 2552344384 3828516576 5104688768 7657033152 10209377536 15314066304 20418755072 30628132608 61256265216