Search a number
-
+
54520620032 = 210175359093
BaseRepresentation
bin110010110001101011…
…101010010000000000
312012201122011110111102
4302301223222100000
51343124234320112
641014010033532
73640033423664
oct626153522000
9165648143442
1054520620032
112113851786a
12a696a188a8
1351ab4b5c18
1428d2c868a4
1516416a7bc2
hexcb1aea400

54520620032 has 88 divisors (see below), whose sum is σ = 117578386296. Its totient is φ = 25172246528.

The previous prime is 54520620029. The next prime is 54520620041. The reversal of 54520620032 is 23002602545.

It can be written as a sum of positive squares in 4 ways, for example, as 36215612416 + 18305007616 = 190304^2 + 135296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54520619977 and 54520620004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 893078 + ... + 952170.

Almost surely, 254520620032 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 54520620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58789193148).

54520620032 is an abundant number, since it is smaller than the sum of its proper divisors (63057766264).

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

54520620032 is a wasteful number, since it uses less digits than its factorization.

54520620032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59183 (or 59165 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 54520620032 in words is "fifty-four billion, five hundred twenty million, six hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 424 512 544 848 901 1024 1088 1696 1802 2176 3392 3604 4352 6784 7208 8704 13568 14416 17408 27136 28832 54272 57664 59093 115328 118186 230656 236372 461312 472744 922624 945488 1004581 1890976 2009162 3131929 3781952 4018324 6263858 7563904 8036648 12527716 15127808 16073296 25055432 30255616 32146592 50110864 53242793 60511232 64293184 100221728 106485586 128586368 200443456 212971172 257172736 400886912 425942344 514345472 801773824 851884688 1028690944 1603547648 1703769376 3207095296 3407538752 6815077504 13630155008 27260310016 54520620032