Search a number
-
+
78441336448 = 2719415314843
BaseRepresentation
bin100100100001101110…
…1111100111010000000
321111110201012202120021
41021003131330322000
52241121440231243
6100011354023224
75444564233666
oct1110335747200
9244421182507
1078441336448
11302a30a9092
1213251a17b14
137521242ca7
143b21b64c36
1520917376ed
hex124377ce80

78441336448 has 128 divisors (see below), whose sum is σ = 171697579200. Its totient is φ = 35563806720.

The previous prime is 78441336439. The next prime is 78441336451. The reversal of 78441336448 is 84463314487.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 78441336395 and 78441336404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5277315 + ... + 5292157.

Almost surely, 278441336448 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 78441336448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85848789600).

78441336448 is an abundant number, since it is smaller than the sum of its proper divisors (93256242752).

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

78441336448 is a wasteful number, since it uses less digits than its factorization.

78441336448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14970 (or 14958 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 52.

The spelling of 78441336448 in words is "seventy-eight billion, four hundred forty-one million, three hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 53 64 76 82 106 128 152 164 212 304 328 424 608 656 779 848 1007 1216 1312 1558 1696 2014 2173 2432 2624 3116 3392 4028 4346 5248 6232 6784 8056 8692 12464 14843 16112 17384 24928 29686 32224 34768 41287 49856 59372 64448 69536 82574 99712 118744 128896 139072 165148 237488 278144 282017 330296 474976 564034 608563 660592 786679 949952 1128068 1217126 1321184 1573358 1899904 2256136 2434252 2642368 3146716 4512272 4868504 5284736 6293432 9024544 9737008 11562697 12586864 14946901 18049088 19474016 23125394 25173728 29893802 32253839 36098176 38948032 46250788 50347456 59787604 64507678 77896064 92501576 100694912 119575208 129015356 185003152 239150416 258030712 370006304 478300832 516061424 612822941 740012608 956601664 1032122848 1225645882 1480025216 1913203328 2064245696 2451291764 4128491392 4902583528 9805167056 19610334112 39220668224 78441336448