Search a number
-
+
58806830816864 = 25132314814150033
BaseRepresentation
bin11010101111100000010000…
…10000101101111001100000
321201012212201011001212010222
431113300020100231321200
530201442342142114424
6325023252441542212
715246440042264354
oct1527601020557140
9251185634055128
1058806830816864
11178129229a5909
1267191a87a4968
1326a75ca512170
1410743a14c9464
156bea79912e5e
hex357c0842de60

58806830816864 has 96 divisors (see below), whose sum is σ = 130190617013184. Its totient is φ = 25944008048640.

The previous prime is 58806830816843. The next prime is 58806830816879. The reversal of 58806830816864 is 46861803860885.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12095192 + ... + 16245224.

It is an arithmetic number, because the mean of its divisors is an integer number (1356152260554).

Almost surely, 258806830816864 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 58806830816864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65095308506592).

58806830816864 is an abundant number, since it is smaller than the sum of its proper divisors (71383786196320).

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

58806830816864 is a wasteful number, since it uses less digits than its factorization.

58806830816864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151560 (or 4151552 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 71.

The spelling of 58806830816864 in words is "fifty-eight trillion, eight hundred six billion, eight hundred thirty million, eight hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 1481 2392 2962 4784 5924 9568 11848 19253 23696 34063 38506 47392 68126 77012 136252 154024 272504 308048 442819 545008 616096 885638 1090016 1771276 3542552 4150033 7085104 8300066 14170208 16600132 33200264 53950429 66400528 95450759 107900858 132801056 190901518 215801716 381803036 431603432 763606072 863206864 1240859867 1527212144 1726413728 2481719734 3054424288 4963439468 6146198873 9926878936 12292397746 19853757872 24584795492 39707515744 49169590984 79900585349 98339181968 141362574079 159801170698 196678363936 282725148158 319602341396 565450296316 639204682792 1130900592632 1278409365584 1837713463027 2261801185264 2556818731168 3675426926054 4523602370528 7350853852108 14701707704216 29403415408432 58806830816864