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58457985432 = 233711197316033
BaseRepresentation
bin110110011100010111…
…100001000110011000
312120220001000100102120
4312130113201012120
51424210221013212
642504421301240
74136433451260
oct663427410630
9176801010376
1058457985432
1122879010760
12b3b5564820
135688147432
142b87b747a0
1517c21a988c
hexd9c5e1198

58457985432 has 128 divisors (see below), whose sum is σ = 182310428160. Its totient is φ = 15175249920.

The previous prime is 58457985427. The next prime is 58457985451. The reversal of 58457985432 is 23458975485.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3638088 + ... + 3654120.

It is an arithmetic number, because the mean of its divisors is an integer number (1424300220).

Almost surely, 258457985432 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 58457985432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91155214080).

58457985432 is an abundant number, since it is smaller than the sum of its proper divisors (123852442728).

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

58457985432 is a wasteful number, since it uses less digits than its factorization.

58457985432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18033 (or 18029 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 60.

The spelling of 58457985432 in words is "fifty-eight billion, four hundred fifty-seven million, nine hundred eighty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 1973 3946 5919 7892 11838 13811 15784 16033 21703 23676 27622 32066 41433 43406 47352 48099 55244 64132 65109 82866 86812 96198 110488 112231 128264 130218 151921 165732 173624 176363 192396 224462 260436 303842 331464 336693 352726 384792 448924 455763 520872 529089 607684 673386 705452 897848 911526 1058178 1215368 1234541 1346772 1410904 1823052 2116356 2469082 2693544 3646104 3703623 4232712 4938164 7407246 9876328 14814492 29628984 31633109 63266218 94899327 126532436 189798654 221431763 253064872 347964199 379597308 442863526 664295289 695928398 759194616 885727052 1043892597 1328590578 1391856796 1771454104 2087785194 2435749393 2657181156 2783713592 4175570388 4871498786 5314362312 7307248179 8351140776 9742997572 14614496358 19485995144 29228992716 58457985432