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58458196984 = 231129181271467
BaseRepresentation
bin110110011100011000…
…010100101111111000
312120220001102002121211
4312130120110233320
51424210244300414
642504430012504
74136435322115
oct663430245770
9176801362554
1058458196984
11228791456a0
12b3b5647134
1356881bc805
142b87bcb90c
1517c21ec3c4
hexd9c614bf8

58458196984 has 128 divisors (see below), whose sum is σ = 125106508800. Its totient is φ = 25365312000.

The previous prime is 58458196943. The next prime is 58458196999. The reversal of 58458196984 is 48969185485.

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 31 ways as a sum of consecutive naturals, for example, 125177919 + ... + 125178385.

It is an arithmetic number, because the mean of its divisors is an integer number (977394600).

Almost surely, 258458196984 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 58458196984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62553254400).

58458196984 is an abundant number, since it is smaller than the sum of its proper divisors (66648311816).

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

58458196984 is a wasteful number, since it uses less digits than its factorization.

58458196984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 67.

The spelling of 58458196984 in words is "fifty-eight billion, four hundred fifty-eight million, one hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 181 232 271 319 362 467 542 638 724 934 1084 1276 1448 1868 1991 2168 2552 2981 3736 3982 5137 5249 5962 7859 7964 10274 10498 11924 13543 15718 15928 20548 20996 23848 27086 31436 41096 41992 49051 54172 57739 62872 84527 86449 98102 108344 115478 126557 148973 169054 172898 196204 230956 253114 297946 338108 345796 392408 461912 506228 539561 595892 676216 691592 929797 1012456 1079122 1191784 1392127 1422479 1859594 2158244 2451283 2784254 2844958 3670153 3719188 4316488 4902566 5568508 5689916 7340306 7438376 9805132 11137016 11379832 14680612 15647269 19610264 22906817 26964113 29361224 31294538 40371683 45813634 53928226 62589076 80743366 91627268 107856452 125178152 161486732 183254536 215712904 251974987 322973464 503949974 664297693 1007899948 1328595386 2015799896 2657190772 5314381544 7307274623 14614549246 29229098492 58458196984