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78480753228576 = 25322311847939799
BaseRepresentation
bin10001110110000010111001…
…011010101111101100100000
3101021212200112122000121000100
4101312002321122233230200
540241312040311303301
6434525321005422400
722350022140461466
oct2166027132575440
9337780478017010
1078480753228576
1123008556232596
12897611956aa00
1334a391b12918a
1415546bb0b4836
159116e7a0c286
hex4760b96afb20

78480753228576 has 72 divisors (see below), whose sum is σ = 232883104708800. Its totient is φ = 25022848853376.

The previous prime is 78480753228569. The next prime is 78480753228611. The reversal of 78480753228576 is 67582235708487.

78480753228576 is a `hidden beast` number, since 7 + 8 + 4 + 8 + 0 + 7 + 532 + 2 + 85 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5923963276 + ... + 5923976523.

It is an arithmetic number, because the mean of its divisors is an integer number (3234487565400).

Almost surely, 278480753228576 is an apocalyptic number.

It is an amenable number.

78480753228576 is an abundant number, since it is smaller than the sum of its proper divisors (154402351480224).

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

78480753228576 is a wasteful number, since it uses less digits than its factorization.

78480753228576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11847939838 (or 11847939827 counting only the distinct ones).

The product of its (nonzero) digits is 1264435200, while the sum is 72.

The spelling of 78480753228576 in words is "seventy-eight trillion, four hundred eighty billion, seven hundred fifty-three million, two hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 11847939799 23695879598 35543819397 47391759196 71087638794 94783518392 106631458191 142175277588 189567036784 213262916382 272502615377 284350555176 379134073568 426525832764 545005230754 568701110352 817507846131 853051665528 1090010461508 1137402220704 1635015692262 1706103331056 2180020923016 2452523538393 3270031384524 3412206662112 4360041846032 4905047076786 6540062769048 8720083692064 9810094153572 13080125538096 19620188307144 26160251076192 39240376614288 78480753228576