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58305348564 = 22319893498233
BaseRepresentation
bin110110010011010001…
…010000001111010100
312120111101210121000020
4312103101100033110
51423402132123224
642441325545140
74132601166651
oct662321201724
9176441717006
1058305348564
11227aa938391
12b3724151b0
135662634268
142b717a0c28
1517b3aa8c79
hexd934503d4

58305348564 has 96 divisors (see below), whose sum is σ = 145247760000. Its totient is φ = 18150967296.

The previous prime is 58305348559. The next prime is 58305348581. The reversal of 58305348564 is 46584350385.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7077792 + ... + 7086024.

It is an arithmetic number, because the mean of its divisors is an integer number (1512997500).

Almost surely, 258305348564 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 58305348564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72623880000).

58305348564 is an abundant number, since it is smaller than the sum of its proper divisors (86942411436).

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

58305348564 is a wasteful number, since it uses less digits than its factorization.

58305348564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8697 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 58305348564 in words is "fifty-eight billion, three hundred five million, three hundred forty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 349 356 534 698 1047 1068 1396 1691 2094 3382 4188 5073 6631 6764 8233 10146 13262 16466 19893 20292 24699 26524 31061 32932 39786 49398 62122 79572 93183 98796 124244 156427 186366 312854 372732 469281 590159 625708 732737 938562 1180318 1465474 1770477 1877124 2198211 2360636 2873317 2930948 3540954 4396422 5746634 7081908 8619951 8792844 11493268 13922003 17239902 27844006 34479804 41766009 54593023 55688012 83532018 109186046 163779069 167064036 218372092 255725213 327558138 511450426 655116276 767175639 1022900852 1534351278 3068702556 4858779047 9717558094 14576337141 19435116188 29152674282 58305348564