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56005051024 = 24132991910103
BaseRepresentation
bin110100001010001010…
…010100001010010000
312100120002101101000001
4310022022110022100
51404144243113044
641421154335344
74021600036066
oct641212241220
9170502341001
1056005051024
112182a43383a
12aa2bb8a554
135386bb6860
1429d4096036
1516cbb792d4
hexd0a294290

56005051024 has 80 divisors (see below), whose sum is σ = 121029753600. Its totient is φ = 24927533568.

The previous prime is 56005051009. The next prime is 56005051043. The reversal of 56005051024 is 42015050065.

It is a junction number, because it is equal to n+sod(n) for n = 56005050983 and 56005051001.

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, 5538357 + ... + 5548459.

It is an arithmetic number, because the mean of its divisors is an integer number (1512871920).

Almost surely, 256005051024 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 56005051024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60514876800).

56005051024 is an abundant number, since it is smaller than the sum of its proper divisors (65024702576).

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

56005051024 is a wasteful number, since it uses less digits than its factorization.

56005051024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11072 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 56005051024 in words is "fifty-six billion, five million, fifty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 919 1508 1838 3016 3676 6032 7352 10103 11947 14704 20206 23894 26651 40412 47788 53302 80824 95576 106604 131339 161648 191152 213208 262678 292987 346463 426416 525356 585974 692926 1050712 1171948 1385852 2101424 2343896 2771704 3808831 4687792 5543408 7617662 9284657 15235324 18569314 30470648 37138628 60941296 74277256 120700541 148554512 241401082 269255053 482802164 538510106 965604328 1077020212 1931208656 2154040424 3500315689 4308080848 7000631378 14001262756 28002525512 56005051024