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58859811168 = 2531639533947
BaseRepresentation
bin110110110100010100…
…010111000101100000
312121221001010012201020
4312310110113011200
51431021102424133
643012334005440
74152413066004
oct666424270540
9177831105636
1058859811168
1122a64913344
12b4a8046880
135720477a42
142bc5292704
1517e75ce0b3
hexdb4517160

58859811168 has 96 divisors (see below), whose sum is σ = 155657448576. Its totient is φ = 19474172928.

The previous prime is 58859811167. The next prime is 58859811209. The reversal of 58859811168 is 86111895885.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58859811167) 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, 14910571 + ... + 14914517.

It is an arithmetic number, because the mean of its divisors is an integer number (1621431756).

Almost surely, 258859811168 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 58859811168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77828724288).

58859811168 is an abundant number, since it is smaller than the sum of its proper divisors (96797637408).

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

58859811168 is a wasteful number, since it uses less digits than its factorization.

58859811168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5068 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 60.

The spelling of 58859811168 in words is "fifty-eight billion, eight hundred fifty-nine million, eight hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 953 978 1304 1906 1956 2608 2859 3812 3912 3947 5216 5718 7624 7824 7894 11436 11841 15248 15648 15788 22872 23682 30496 31576 45744 47364 63152 91488 94728 126304 155339 189456 310678 378912 466017 621356 643361 932034 1242712 1286722 1864068 1930083 2485424 2573444 3728136 3761491 3860166 4970848 5146888 7456272 7522982 7720332 10293776 11284473 14912544 15045964 15440664 20587552 22568946 30091928 30881328 45137892 60183856 61762656 90275784 120367712 180551568 361103136 613123033 1226246066 1839369099 2452492132 3678738198 4904984264 7357476396 9809968528 14714952792 19619937056 29429905584 58859811168