Search a number
-
+
71556220704 = 2533146751487
BaseRepresentation
bin100001010100100010…
…1010100011100100000
320211200212122122100110
41002221011110130200
52133021343030304
652512242051320
75112141561153
oct1025105243440
9224625578313
1071556220704
112838a691791
1211a50049b40
1369949925c7
14366b591c9a
151cdc063289
hex10a9154720

71556220704 has 96 divisors (see below), whose sum is σ = 194313240576. Its totient is φ = 23032776960.

The previous prime is 71556220661. The next prime is 71556220727. The reversal of 71556220704 is 40702265517.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1364049 + ... + 1415535.

It is an arithmetic number, because the mean of its divisors is an integer number (2024096256).

Almost surely, 271556220704 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 71556220704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97156620288).

71556220704 is an abundant number, since it is smaller than the sum of its proper divisors (122757019872).

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

71556220704 is a wasteful number, since it uses less digits than its factorization.

71556220704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51998 (or 51990 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 71556220704 in words is "seventy-one billion, five hundred fifty-six million, two hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 467 496 744 934 992 1401 1488 1868 2802 2976 3736 5604 7472 11208 14477 14944 22416 28954 43431 44832 51487 57908 86862 102974 115816 154461 173724 205948 231632 308922 347448 411896 463264 617844 694896 823792 1235688 1389792 1596097 1647584 2471376 3192194 4788291 4942752 6384388 9576582 12768776 19153164 24044429 25537552 38306328 48088858 51075104 72133287 76612656 96177716 144266574 153225312 192355432 288533148 384710864 577066296 745377299 769421728 1154132592 1490754598 2236131897 2308265184 2981509196 4472263794 5963018392 8944527588 11926036784 17889055176 23852073568 35778110352 71556220704