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54976687864 = 2373136438693
BaseRepresentation
bin110011001100110111…
…011010111011111000
312020220102100002221121
4303030313122323320
51400043013002424
641131141115024
73654242064550
oct631467327370
9166812302847
1054976687864
11213519a832a
12a7a36b8a74
135251b28747
142937684160
15166b743ee4
hexcccddaef8

54976687864 has 64 divisors (see below), whose sum is σ = 121654794240. Its totient is φ = 22792510080.

The previous prime is 54976687823. The next prime is 54976687903. The reversal of 54976687864 is 46878667945.

It is a junction number, because it is equal to n+sod(n) for n = 54976687793 and 54976687802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6319902 + ... + 6328594.

It is an arithmetic number, because the mean of its divisors is an integer number (1900856160).

Almost surely, 254976687864 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 54976687864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60827397120).

54976687864 is an abundant number, since it is smaller than the sum of its proper divisors (66678106376).

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

54976687864 is a wasteful number, since it uses less digits than its factorization.

54976687864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12380 (or 12376 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 70.

The spelling of 54976687864 in words is "fifty-four billion, nine hundred seventy-six million, six hundred eighty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 3643 7286 8693 14572 17386 25501 29144 34772 51002 60851 69544 102004 112933 121702 204008 225866 243404 269483 451732 486808 538966 790531 903464 1077932 1581062 1886381 2155864 3162124 3772762 6324248 7545524 15091048 31668599 63337198 126674396 221680193 253348792 443360386 886720772 981726569 1773441544 1963453138 3926906276 6872085983 7853812552 13744171966 27488343932 54976687864