Search a number
-
+
52845400674 = 2341163146997
BaseRepresentation
bin110001001101110101…
…001101001001100010
312001101212221111120000
4301031311031021202
51331211410310144
640135444200430
73550362331353
oct611565151142
9161355844500
1052845400674
112045893a760
12a2a9999116
134ca2404a71
1427b45b1d2a
15159459b769
hexc4dd4d262

52845400674 has 80 divisors (see below), whose sum is σ = 129385118016. Its totient is φ = 15988039200.

The previous prime is 52845400667. The next prime is 52845400807. The reversal of 52845400674 is 47600454825.

52845400674 is a `hidden beast` number, since 528 + 4 + 54 + 0 + 0 + 6 + 74 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1100944 + ... + 1147940.

Almost surely, 252845400674 is an apocalyptic number.

52845400674 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52845400674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64692559008).

52845400674 is an abundant number, since it is smaller than the sum of its proper divisors (76539717342).

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

52845400674 is a wasteful number, since it uses less digits than its factorization.

52845400674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47653 (or 47644 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 52845400674 in words is "fifty-two billion, eight hundred forty-five million, four hundred thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 631 891 1262 1782 1893 3786 5679 6941 11358 13882 17037 20823 34074 41646 46997 51111 62469 93994 102222 124938 140991 187407 281982 374814 422973 516967 562221 845946 1033934 1124442 1268919 1550901 2537838 3101802 3806757 4652703 7613514 9305406 13958109 27916218 29655107 41874327 59310214 83748654 88965321 177930642 266895963 326206177 533791926 652412354 800687889 978618531 1601375778 1957237062 2402063667 2935855593 4804127334 5871711186 8807566779 17615133558 26422700337 52845400674