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58218000016 = 24112192368813
BaseRepresentation
bin110110001110000100…
…000010111010010000
312120021022102211022211
4312032010002322100
51423212302000031
642424525441504
74130460556321
oct661604027220
9176238384284
1058218000016
11227655a8100
12b349110294
13564a500127
142b63d44448
1517ab0a2bb1
hexd8e102e90

58218000016 has 120 divisors (see below), whose sum is σ = 136185658560. Its totient is φ = 23979605760.

The previous prime is 58218000007. The next prime is 58218000037. The reversal of 58218000016 is 61000081285.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811626 + ... + 880438.

It is an arithmetic number, because the mean of its divisors is an integer number (1134880488).

Almost surely, 258218000016 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 58218000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68092829280).

58218000016 is an abundant number, since it is smaller than the sum of its proper divisors (77967658544).

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

58218000016 is a wasteful number, since it uses less digits than its factorization.

58218000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68885 (or 68868 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 58218000016 in words is "fifty-eight billion, two hundred eighteen million, sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 121 152 176 184 209 242 253 304 368 418 437 484 506 836 874 968 1012 1672 1748 1936 2024 2299 2783 3344 3496 4048 4598 4807 5566 6992 9196 9614 11132 18392 19228 22264 36784 38456 44528 52877 68813 76912 105754 137626 211508 275252 423016 550504 756943 846032 1101008 1307447 1513886 1582699 2614894 3027772 3165398 5229788 6055544 6330796 8326373 10459576 12111088 12661592 14381917 16652746 17409689 20919152 25323184 28763834 30071281 33305492 34819378 57527668 60142562 66610984 69638756 115055336 120285124 133221968 139277512 158201087 191506579 230110672 240570248 278555024 316402174 330784091 383013158 481140496 632804348 661568182 766026316 1265608696 1323136364 1532052632 2531217392 2646272728 3064105264 3638625001 5292545456 7277250002 14554500004 29109000008 58218000016