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58212839552384 = 2711175694274201
BaseRepresentation
bin11010011110001101110111…
…00111110111010110000000
321122010002111212201012012202
431033012323213313112000
530112224343411134014
6323450335335412332
715155511300656606
oct1517067347672600
9248102455635182
1058212839552384
1117603a2135a240
1266420562240a8
1326635a76bb87a
141053733289876
156ae3b23563de
hex34f1bb9f7580

58212839552384 has 128 divisors (see below), whose sum is σ = 134191136311200. Its totient is φ = 24860114944000.

The previous prime is 58212839552347. The next prime is 58212839552389. The reversal of 58212839552384 is 48325593821285.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 58212839552384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58212839552389) 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, 11482484 + ... + 15756684.

Almost surely, 258212839552384 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 58212839552384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67095568155600).

58212839552384 is an abundant number, since it is smaller than the sum of its proper divisors (75978296758816).

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

58212839552384 is a wasteful number, since it uses less digits than its factorization.

58212839552384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274812 (or 4274800 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 65.

The spelling of 58212839552384 in words is "fifty-eight trillion, two hundred twelve billion, eight hundred thirty-nine million, five hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 569 704 748 1088 1138 1408 1496 2176 2276 2992 4552 5984 6259 9104 9673 11968 12518 18208 19346 23936 25036 36416 38692 50072 72832 77384 100144 106403 154768 200288 212806 309536 400576 425612 619072 801152 851224 1238144 1702448 3404896 4274201 6809792 8548402 13619584 17096804 34193608 47016211 68387216 72661417 94032422 136774432 145322834 188064844 273548864 290645668 376129688 547097728 581291336 752259376 799275587 1162582672 1504518752 1598551174 2325165344 2432020369 3009037504 3197102348 4650330688 4864040738 6018075008 6394204696 9300661376 9728081476 12788409392 19456162952 25576818784 26752224059 38912325904 41344346273 51153637568 53504448118 77824651808 82688692546 102307275136 107008896236 155649303616 165377385092 214017792472 311298607232 330754770184 428035584944 454787809003 661509540368 856071169888 909575618006 1323019080736 1712142339776 1819151236012 2646038161472 3424284679552 3638302472024 5292076322944 7276604944048 14553209888096 29106419776192 58212839552384