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58221663136 = 25713186710709
BaseRepresentation
bin110110001110010010…
…000001001110100000
312120021120022221011221
4312032102001032200
51423214221210021
642425140144424
74130533654060
oct661622011640
9176246287157
1058221663136
112276767a27a
12b34a398114
13564b1b3560
142b646193a0
1517ab578241
hexd8e4813a0

58221663136 has 96 divisors (see below), whose sum is σ = 141164311680. Its totient is φ = 23018259456.

The previous prime is 58221663119. The next prime is 58221663139. The reversal of 58221663136 is 63136612285.

It is a super-2 number, since 2×582216631362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58221663092 and 58221663101.

It is not an unprimeable number, because it can be changed into a prime (58221663139) 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, 5431350 + ... + 5442058.

It is an arithmetic number, because the mean of its divisors is an integer number (1470461580).

Almost surely, 258221663136 is an apocalyptic number.

58221663136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58221663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70582155840).

58221663136 is an abundant number, since it is smaller than the sum of its proper divisors (82942648544).

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

58221663136 is a wasteful number, since it uses less digits than its factorization.

58221663136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12606 (or 12598 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The spelling of 58221663136 in words is "fifty-eight billion, two hundred twenty-one million, six hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1867 2912 3734 7468 10709 13069 14936 21418 24271 26138 29872 42836 48542 52276 59744 74963 85672 97084 104552 139217 149926 169897 171344 194168 209104 278434 299852 339794 342688 388336 418208 556868 599704 679588 776672 974519 1113736 1199408 1359176 1949038 2227472 2398816 2718352 3898076 4454944 5436704 7796152 15592304 19993703 31184608 39987406 79974812 139955921 159949624 259918139 279911842 319899248 519836278 559823684 639798496 1039672556 1119647368 1819426973 2079345112 2239294736 3638853946 4158690224 4478589472 7277707892 8317380448 14555415784 29110831568 58221663136