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58224472480 = 2551940014787
BaseRepresentation
bin110110001110011100…
…101111000110100000
312120021202121122212201
4312032130233012200
51423220431104410
642425320302544
74130566564426
oct661634570640
9176252548781
1058224472480
1122769218a49
12b34b311a54
13564b9581a5
142b64b4b116
1517ab93083a
hexd8e72f1a0

58224472480 has 96 divisors (see below), whose sum is σ = 144861514560. Its totient is φ = 22053888000.

The previous prime is 58224472429. The next prime is 58224472487. The reversal of 58224472480 is 8427442285.

It is a happy number.

58224472480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58224472480.

It is not an unprimeable number, because it can be changed into a prime (58224472487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12160647 + ... + 12165433.

It is an arithmetic number, because the mean of its divisors is an integer number (1508974110).

Almost surely, 258224472480 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 58224472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72430757280).

58224472480 is an abundant number, since it is smaller than the sum of its proper divisors (86637042080).

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

58224472480 is a wasteful number, since it uses less digits than its factorization.

58224472480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 46.

The spelling of 58224472480 in words is "fifty-eight billion, two hundred twenty-four million, four hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4001 4787 8002 9574 16004 19148 20005 23935 32008 38296 40010 47870 64016 76019 76592 80020 90953 95740 128032 152038 153184 160040 181906 191480 304076 320080 363812 380095 382960 454765 608152 640160 727624 760190 765920 909530 1216304 1455248 1520380 1819060 2432608 2910496 3040760 3638120 6081520 7276240 12163040 14552480 19152787 38305574 76611148 95763935 153222296 191527870 306444592 363902953 383055740 612889184 727805906 766111480 1455611812 1532222960 1819514765 2911223624 3064445920 3639029530 5822447248 7278059060 11644894496 14556118120 29112236240 58224472480