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58982627072 = 283726323677
BaseRepresentation
bin110110111011101000…
…110111011100000000
312122020121012220110102
4312323220313130000
51431244023031242
643032442221532
74155434025605
oct667350673400
9178217186412
1058982627072
1123018178796
12b5211b48a8
13573ca49585
142bd77026ac
15180328de32
hexdbba37700

58982627072 has 72 divisors (see below), whose sum is σ = 121381762656. Its totient is φ = 28583940096.

The previous prime is 58982627051. The next prime is 58982627113. The reversal of 58982627072 is 27072628985.

It is a junction number, because it is equal to n+sod(n) for n = 58982626999 and 58982627017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2479298 + ... + 2502974.

Almost surely, 258982627072 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 58982627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60690881328).

58982627072 is an abundant number, since it is smaller than the sum of its proper divisors (62399135584).

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

58982627072 is a wasteful number, since it uses less digits than its factorization.

58982627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23993 (or 23979 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 58982627072 in words is "fifty-eight billion, nine hundred eighty-two million, six hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 263 296 526 592 1052 1184 2104 2368 4208 4736 8416 9472 9731 16832 19462 23677 33664 38924 47354 67328 77848 94708 155696 189416 311392 378832 622784 757664 876049 1245568 1515328 1752098 2491136 3030656 3504196 6061312 6227051 7008392 12454102 14016784 24908204 28033568 49816408 56067136 99632816 112134272 199265632 224268544 230400887 398531264 460801774 797062528 921603548 1594125056 1843207096 3686414192 7372828384 14745656768 29491313536 58982627072