Search a number
-
+
47191816336900 = 22526869632
BaseRepresentation
bin10101011101011101100110…
…11100101111011000000100
320012002111022211011111212211
422232232303130233120010
522141142314440240100
6244211342055353204
712640332126214654
oct1256566334573004
9205074284144784
1047191816336900
1114044a34041384
12536210b982804
132044227914b51
14b9214b99a364
1556c87a1b61ba
hex2aebb372f604

47191816336900 has 27 divisors (see below), whose sum is σ = 102406390522261. Its totient is φ = 18876699056240.

The previous prime is 47191816336897. The next prime is 47191816336919. The reversal of 47191816336900 is 963361819174.

The square root of 47191816336900 is 6869630.

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

It can be written as a sum of positive squares in only one way, i.e., 16989053881284 + 30202762455616 = 4121778^2 + 5495704^2 .

It is a super-2 number, since 2×471918163369002 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68352819 + ... + 69039781.

Almost surely, 247191816336900 is an apocalyptic number.

47191816336900 is the 6869630-th square number.

It is an amenable number.

47191816336900 is an abundant number, since it is smaller than the sum of its proper divisors (55214574185361).

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

47191816336900 is an frugal number, since it uses more digits than its factorization.

47191816336900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373940 (or 686970 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 47191816336900 in words is "forty-seven trillion, one hundred ninety-one billion, eight hundred sixteen million, three hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 686963 1373926 2747852 3434815 6869630 13739260 17174075 34348150 68696300 471918163369 943836326738 1887672653476 2359590816845 4719181633690 9438363267380 11797954084225 23595908168450 47191816336900