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79318242048 = 2831757710529
BaseRepresentation
bin100100111011110111…
…1000101001100000000
321120201211021011220110
41021313233011030000
52244420432221143
6100234401111320
75505402635043
oct1116757051400
9246654234813
1079318242048
1130703097261
1213457628540
137630b11946
143ba63ccc5a
1520e3701533
hex1277bc5300

79318242048 has 144 divisors (see below), whose sum is σ = 223928621280. Its totient is φ = 24838668288.

The previous prime is 79318242043. The next prime is 79318242089. The reversal of 79318242048 is 84024281397.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 79318241988 and 79318242006.

It is not an unprimeable number, because it can be changed into a prime (79318242041) by changing a digit.

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, 7528048 + ... + 7538576.

It is an arithmetic number, because the mean of its divisors is an integer number (1555059870).

Almost surely, 279318242048 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 79318242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111964310640).

79318242048 is an abundant number, since it is smaller than the sum of its proper divisors (144610379232).

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

79318242048 is a wasteful number, since it uses less digits than its factorization.

79318242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 79318242048 in words is "seventy-nine billion, three hundred eighteen million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 577 768 816 1088 1154 1632 1731 2176 2308 3264 3462 4352 4616 6528 6924 9232 9809 10529 13056 13848 18464 19618 21058 27696 29427 31587 36928 39236 42116 55392 58854 63174 73856 78472 84232 110784 117708 126348 147712 156944 168464 178993 221568 235416 252696 313888 336928 357986 443136 470832 505392 536979 627776 673856 715972 941664 1010784 1073958 1255552 1347712 1431944 1883328 2021568 2147916 2511104 2695424 2863888 3766656 4043136 4295832 5727776 6075233 7533312 8086272 8591664 11455552 12150466 17183328 18225699 22911104 24300932 34366656 36451398 45822208 48601864 68733312 72902796 97203728 103278961 137466624 145805592 194407456 206557922 291611184 309836883 388814912 413115844 583222368 619673766 777629824 826231688 1166444736 1239347532 1555259648 1652463376 2332889472 2478695064 3304926752 4665778944 4957390128 6609853504 9914780256 13219707008 19829560512 26439414016 39659121024 79318242048