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67778584468408 = 231121311633279127
BaseRepresentation
bin11110110100100111011100…
…11100110101101110111000
322212222120101002101111210101
433122103232130311232320
532340441020110442113
6400053015111125144
720163561336122542
oct1732235634655670
9285876332344711
1067778584468408
111a661810a48300
127727b3a9737b4
132ba865441c7a8
1412a4702a16692
157c81234162dd
hex3da4ee735bb8

67778584468408 has 96 divisors (see below), whose sum is σ = 141618193073280. Its totient is φ = 30385693166400.

The previous prime is 67778584468379. The next prime is 67778584468421. The reversal of 67778584468408 is 80486448587776.

It is a super-2 number, since 2×677785844684082 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19030141 + ... + 22309267.

It is an arithmetic number, because the mean of its divisors is an integer number (1475189511180).

Almost surely, 267778584468408 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 67778584468408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70809096536640).

67778584468408 is an abundant number, since it is smaller than the sum of its proper divisors (73839608604872).

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

67778584468408 is a wasteful number, since it uses less digits than its factorization.

67778584468408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279449 (or 3279434 counting only the distinct ones).

The product of its (nonzero) digits is 16184770560, while the sum is 82.

The spelling of 67778584468408 in words is "sixty-seven trillion, seven hundred seventy-eight billion, five hundred eighty-four million, four hundred sixty-eight thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 88 121 131 163 242 262 326 484 524 652 968 1048 1304 1441 1793 2882 3586 5764 7172 11528 14344 15851 19723 21353 31702 39446 42706 63404 78892 85412 126808 157784 170824 234883 469766 939532 1879064 2583713 3279127 5167426 6558254 10334852 13116508 20669704 26233016 36070397 72140794 144281588 288563176 396774367 429565637 534497701 793548734 859131274 1068995402 1587097468 1718262548 2137990804 3174194936 3436525096 4275981608 4725222007 5879474711 9450444014 11758949422 18900888028 23517898844 37801776056 47035797688 51977442077 64674221821 70019198831 103954884154 129348443642 140038397662 207909768308 258696887284 280076795324 415819536616 517393774568 560153590648 770211187141 1540422374282 3080844748564 6161689497128 8472323058551 16944646117102 33889292234204 67778584468408