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58219442512 = 2473116731433
BaseRepresentation
bin110110001110001001…
…100011000101010000
312120021102011010001121
4312032021203011100
51423213134130022
642425020412024
74130506045000
oct661611430520
9176242133047
1058219442512
11227663a2950
12b3496a7014
13564a8b688a
142b641dc000
1517ab28a2c7
hexd8e263150

58219442512 has 160 divisors (see below), whose sum is σ = 143817580800. Its totient is φ = 22633390080.

The previous prime is 58219442483. The next prime is 58219442543. The reversal of 58219442512 is 21524491285.

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, 40626948 + ... + 40628380.

It is an arithmetic number, because the mean of its divisors is an integer number (898859880).

Almost surely, 258219442512 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 58219442512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71908790400).

58219442512 is an abundant number, since it is smaller than the sum of its proper divisors (85598138288).

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

58219442512 is a wasteful number, since it uses less digits than its factorization.

58219442512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2126 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The spelling of 58219442512 in words is "fifty-eight billion, two hundred nineteen million, four hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 392 539 616 673 686 784 1078 1232 1346 1372 1433 2156 2692 2744 2866 3773 4312 4711 5384 5488 5732 7403 7546 8624 9422 10031 10768 11464 14806 15092 15763 18844 20062 22928 29612 30184 31526 32977 37688 40124 51821 59224 60368 63052 65954 70217 75376 80248 103642 110341 118448 126104 131908 140434 160496 207284 220682 230839 252208 263816 280868 362747 414568 441364 461678 491519 527632 561736 725494 772387 829136 882728 923356 964409 983038 1123472 1450988 1544774 1765456 1846712 1928818 1966076 2539229 2901976 3089548 3693424 3857636 3932152 5078458 5406709 5803952 6179096 6750863 7715272 7864304 10156916 10608499 10813418 12358192 13501726 15430544 20313832 21216998 21626836 27003452 40627664 42433996 43253672 47256041 54006904 74259493 84867992 86507344 94512082 108013808 148518986 169735984 189024164 297037972 330792287 378048328 519816451 594075944 661584574 756096656 1039632902 1188151888 1323169148 2079265804 2646338296 3638715157 4158531608 5292676592 7277430314 8317063216 14554860628 29109721256 58219442512