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58012410016 = 2511793176581
BaseRepresentation
bin110110000001110011…
…110010000010100000
312112201222120202212101
4312001303302002200
51422302134110031
642352303140144
74122413230501
oct660163620240
9175658522771
1058012410016
112266a547310
12b2b02a4654
135616a39642
142b44908ba8
151797ee2361
hexd81cf20a0

58012410016 has 96 divisors (see below), whose sum is σ = 126589236480. Its totient is φ = 25949414400.

The previous prime is 58012409977. The next prime is 58012410047. The reversal of 58012410016 is 61001421085.

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, 8811846 + ... + 8818426.

It is an arithmetic number, because the mean of its divisors is an integer number (1318637880).

Almost surely, 258012410016 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 58012410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63294618240).

58012410016 is an abundant number, since it is smaller than the sum of its proper divisors (68576826464).

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

58012410016 is a wasteful number, since it uses less digits than its factorization.

58012410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

It can be divided in two parts, 58012 and 410016, that added together give a triangular number (468028 = T967).

The spelling of 58012410016 in words is "fifty-eight billion, twelve million, four hundred ten thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 317 352 632 634 869 1264 1268 1738 2528 2536 3476 3487 5072 6581 6952 6974 10144 13162 13904 13948 25043 26324 27808 27896 50086 52648 55792 72391 100172 105296 111584 144782 200344 210592 275473 289564 400688 519899 550946 579128 801376 1039798 1101892 1158256 2079596 2086177 2203784 2316512 4159192 4172354 4407568 5718889 8318384 8344708 8815136 11437778 16636768 16689416 22875556 22947947 33378832 45751112 45895894 66757664 91502224 91791788 164807983 183004448 183583576 329615966 367167152 659231932 734334304 1318463864 1812887813 2636927728 3625775626 5273855456 7251551252 14503102504 29006205008 58012410016