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58612498432 = 21419917977
BaseRepresentation
bin110110100101100100…
…111100000000000000
312121021210202102102021
4312211210330000000
51430014244422212
642532021131224
74143321005425
oct664544740000
9177253672367
1058612498432
1122948255654
12b439259b14
1356b1166547
142ba04b5d4c
1517d0a2b307
hexda593c000

58612498432 has 60 divisors (see below), whose sum is σ = 117817025200. Its totient is φ = 29157359616.

The previous prime is 58612498313. The next prime is 58612498447. The reversal of 58612498432 is 23489421685.

It is a happy number.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58612498432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3251428 + ... + 3269404.

Almost surely, 258612498432 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 58612498432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58908512600).

58612498432 is an abundant number, since it is smaller than the sum of its proper divisors (59204526768).

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

58612498432 is an equidigital number, since it uses as much as digits as its factorization.

58612498432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18204 (or 18178 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 58612498432 in words is "fifty-eight billion, six hundred twelve million, four hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 199 256 398 512 796 1024 1592 2048 3184 4096 6368 8192 12736 16384 17977 25472 35954 50944 71908 101888 143816 203776 287632 407552 575264 815104 1150528 1630208 2301056 3260416 3577423 4602112 7154846 9204224 14309692 18408448 28619384 36816896 57238768 73633792 114477536 147267584 228955072 294535168 457910144 915820288 1831640576 3663281152 7326562304 14653124608 29306249216 58612498432