Search a number
-
+
5470172064 = 2532723117973
BaseRepresentation
bin1010001100000110…
…00011001110100000
3112010020002112101100
411012003003032200
542200331001224
62302444434400
7252361460340
oct50603031640
915106075340
105470172064
112357851265
121087b48a00
1369239c106
1439c6d0d20
1522037bac9
hex1460c33a0

5470172064 has 144 divisors (see below), whose sum is σ = 18551175552. Its totient is φ = 1494941184.

The previous prime is 5470172051. The next prime is 5470172107. The reversal of 5470172064 is 4602710745.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12619 + ... + 105354.

It is an arithmetic number, because the mean of its divisors is an integer number (128827608).

Almost surely, 25470172064 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 5470172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275587776).

5470172064 is an abundant number, since it is smaller than the sum of its proper divisors (13081003488).

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

5470172064 is a wasteful number, since it uses less digits than its factorization.

5470172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118019 (or 118008 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5470172064 is about 73960.6115712952. The cubic root of 5470172064 is about 1761.9773815501.

It can be divided in two parts, 547017 and 2064, that added together give a square (549081 = 7412).

The spelling of 5470172064 in words is "five billion, four hundred seventy million, one hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 117973 235946 353919 471892 707838 825811 943784 1061757 1415676 1651622 1887568 2123514 2477433 2713379 2831352 3303244 3775136 4247028 4954866 5426758 5662704 6606488 7432299 8140137 8494056 9909732 10853516 11325408 13212976 14864598 16280274 16988112 18993653 19819464 21707032 24420411 26425952 29729196 32560548 33976224 37987306 39638928 43414064 48840822 56980959 59458392 65121096 75974612 79277856 86828128 97681644 113961918 118916784 130242192 151949224 170942877 195363288 227923836 237833568 260484384 303898448 341885754 390726576 455847672 607796896 683771508 781453152 911695344 1367543016 1823390688 2735086032 5470172064