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68912550144 = 283418232
BaseRepresentation
bin100000000101110000…
…0100001000100000000
320120212122010021010000
41000023200201010000
52112113103101034
651354043040000
74656501003624
oct1001340410400
9216778107100
1068912550144
1127253379989
1211432810000
13666306c1b9
14349a423184
151bd4e08599
hex100b821100

68912550144 has 135 divisors (see below), whose sum is σ = 205597535143. Its totient is φ = 22958249472.

The previous prime is 68912550107. The next prime is 68912550151. The reversal of 68912550144 is 44105521986.

The square root of 68912550144 is 262512.

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

68912550144 is a `hidden beast` number, since 6 + 8 + 91 + 2 + 550 + 1 + 4 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 68912550144.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 37800817 + ... + 37802639.

Almost surely, 268912550144 is an apocalyptic number.

68912550144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68912550144 is the 262512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68912550144

68912550144 is an abundant number, since it is smaller than the sum of its proper divisors (136684984999).

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

68912550144 is an frugal number, since it uses more digits than its factorization.

68912550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 68912550144 in words is "sixty-eight billion, nine hundred twelve million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 1823 2304 2592 3456 3646 5184 5469 6912 7292 10368 10938 14584 16407 20736 21876 29168 32814 43752 49221 58336 65628 87504 98442 116672 131256 147663 175008 196884 233344 262512 295326 350016 393768 466688 525024 590652 700032 787536 1050048 1181304 1400064 1575072 2100096 2362608 3150144 3323329 4200192 4725216 6300288 6646658 9450432 9969987 12600576 13293316 18900864 19939974 26586632 29909961 37801728 39879948 53173264 59819922 79759896 89729883 106346528 119639844 159519792 179459766 212693056 239279688 269189649 319039584 358919532 425386112 478559376 538379298 638079168 717839064 850772224 957118752 1076758596 1276158336 1435678128 1914237504 2153517192 2552316672 2871356256 3828475008 4307034384 5742712512 7656950016 8614068768 11485425024 17228137536 22970850048 34456275072 68912550144