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68045852736 = 263436232
BaseRepresentation
bin111111010111110110…
…010101000001000000
320111122020021110210000
4333113312111001000
52103324214241421
651132042440000
74626145130211
oct772766250100
9214566243700
1068045852736
1126949123334
1211230503000
136555635ab4
143417295408
151b83ca9226
hexfd7d95040

68045852736 has 105 divisors (see below), whose sum is σ = 201764914351. Its totient is φ = 22675690368.

The previous prime is 68045852731. The next prime is 68045852767. The reversal of 68045852736 is 63725854086.

The square root of 68045852736 is 260856.

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

68045852736 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 585 + 27 + 36 = 666.

68045852736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68045852731) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18779821 + ... + 18783443.

Almost surely, 268045852736 is an apocalyptic number.

68045852736 is the 260856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68045852736

68045852736 is an abundant number, since it is smaller than the sum of its proper divisors (133719061615).

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

68045852736 is an frugal number, since it uses more digits than its factorization.

68045852736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 68045852736 in words is "sixty-eight billion, forty-five million, eight hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3623 5184 7246 10869 14492 21738 28984 32607 43476 57968 65214 86952 97821 115936 130428 173904 195642 231872 260856 293463 347808 391284 521712 586926 695616 782568 1043424 1173852 1565136 2086848 2347704 3130272 4695408 6260544 9390816 13126129 18781632 26252258 39378387 52504516 78756774 105009032 118135161 157513548 210018064 236270322 315027096 354405483 420036128 472540644 630054192 708810966 840072256 945081288 1063216449 1260108384 1417621932 1890162576 2126432898 2520216768 2835243864 3780325152 4252865796 5670487728 7560650304 8505731592 11340975456 17011463184 22681950912 34022926368 68045852736