Search a number
-
+
79370665984 = 214312712
BaseRepresentation
bin100100111101011011…
…1000100000000000000
321120212110220121000201
41021322313010000000
52300022342302414
6100243512454544
75506610346361
oct1117267040000
9246773817021
1079370665984
113072a743125
12134710aa454
13763b93841c
143bad357b68
1520e8109574
hex127adc4000

79370665984 has 135 divisors (see below), whose sum is σ = 166364907303. Its totient is φ = 37864243200.

The previous prime is 79370665973. The next prime is 79370665991. The reversal of 79370665984 is 48956607397.

It is a happy number.

The square root of 79370665984 is 281728.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1117896669 + ... + 1117896739.

Almost surely, 279370665984 is an apocalyptic number.

79370665984 is the 281728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79370665984

79370665984 is an abundant number, since it is smaller than the sum of its proper divisors (86994241319).

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

79370665984 is an frugal number, since it uses more digits than its factorization.

79370665984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

Multiplying 79370665984 by its sum of digits (64), we get a square (5079722622976 = 22538242).

79370665984 divided by its sum of digits (64) gives a square (1240166656 = 352162).

The spelling of 79370665984 in words is "seventy-nine billion, three hundred seventy million, six hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 961 992 1024 1136 1922 1984 2048 2201 2272 3844 3968 4096 4402 4544 5041 7688 7936 8192 8804 9088 10082 15376 15872 16384 17608 18176 20164 30752 31744 35216 36352 40328 61504 63488 68231 70432 72704 80656 123008 126976 136462 140864 145408 156271 161312 246016 253952 272924 281728 290816 312542 322624 492032 507904 545848 563456 581632 625084 645248 984064 1091696 1126912 1163264 1250168 1290496 1968128 2183392 2253824 2500336 2580992 3936256 4366784 4507648 4844401 5000672 5161984 7872512 8733568 9015296 9688802 10001344 10323968 15745024 17467136 18030592 19377604 20002688 20647936 34934272 36061184 38755208 40005376 41295872 69868544 77510416 80010752 82591744 139737088 155020832 160021504 279474176 310041664 320043008 558948352 620083328 640086016 1117896704 1240166656 1280172032 2480333312 2560344064 4960666624 9921333248 19842666496 39685332992 79370665984