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66298010256 = 24324324992
BaseRepresentation
bin111101101111101010…
…110101101010010000
320100010102101212122100
4331233222311222100
52041234242312011
650242404240400
74534632534432
oct755752655220
9210112355570
1066298010256
1126131553415
1210a230a0100
1363374a818a
1432cd0b8652
151ad0604d56
hexf6fab5a90

66298010256 has 135 divisors (see below), whose sum is σ = 190339073379. Its totient is φ = 21542141376.

The previous prime is 66298010237. The next prime is 66298010257. The reversal of 66298010256 is 65201089266.

The square root of 66298010256 is 257484.

It is a perfect power (a square), and thus also a powerful number.

66298010256 is a `hidden beast` number, since 6 + 629 + 8 + 0 + 10 + 2 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (66298010257) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132861495 + ... + 132861993.

Almost surely, 266298010256 is an apocalyptic number.

66298010256 is the 257484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66298010256

66298010256 is an abundant number, since it is smaller than the sum of its proper divisors (124041063123).

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

66298010256 is an equidigital number, since it uses as much as digits as its factorization.

66298010256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 66298010256 in words is "sixty-six billion, two hundred ninety-eight million, ten thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 499 516 688 774 998 1032 1497 1548 1849 1996 2064 2994 3096 3698 3992 4491 5547 5988 6192 7396 7984 8982 11094 11976 14792 16641 17964 21457 22188 23952 29584 33282 35928 42914 44376 64371 66564 71856 85828 88752 128742 133128 171656 193113 249001 257484 266256 343312 386226 498002 514968 747003 772452 922651 996004 1029936 1494006 1544904 1845302 1992008 2241009 2767953 2988012 3089808 3690604 3984016 4482018 5535906 5976024 7381208 8303859 8964036 10707043 11071812 11952048 14762416 16607718 17928072 21414086 22143624 32121129 33215436 35856144 42828172 44287248 64242258 66430872 85656344 96363387 128484516 132861744 171312688 192726774 256969032 385453548 460402849 513938064 770907096 920805698 1381208547 1541814192 1841611396 2762417094 3683222792 4143625641 5524834188 7366445584 8287251282 11049668376 16574502564 22099336752 33149005128 66298010256