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58106074272 = 2535383137593
BaseRepresentation
bin110110000111011001…
…000101010010100000
312112222111211102001220
4312013121011102200
51423000123334042
642405450455040
74124631324231
oct660731052240
9175874742056
1058106074272
1122708400694
12b317734480
13563027238c
142b5312b088
1517a13448ec
hexd876454a0

58106074272 has 96 divisors (see below), whose sum is σ = 157279848768. Its totient is φ = 18774153216.

The previous prime is 58106074253. The next prime is 58106074309. The reversal of 58106074272 is 27247060185.

It is a tau number, because it is divible by the number of its divisors (96).

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, 353508 + ... + 491100.

It is an arithmetic number, because the mean of its divisors is an integer number (1638331758).

Almost surely, 258106074272 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 58106074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78639924384).

58106074272 is an abundant number, since it is smaller than the sum of its proper divisors (99173774496).

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

58106074272 is a wasteful number, since it uses less digits than its factorization.

58106074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137742 (or 137734 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 58106074272 in words is "fifty-eight billion, one hundred six million, seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 83 96 106 159 166 212 249 318 332 424 498 636 664 848 996 1272 1328 1696 1992 2544 2656 3984 4399 5088 7968 8798 13197 17596 26394 35192 52788 70384 105576 137593 140768 211152 275186 412779 422304 550372 825558 1100744 1651116 2201488 3302232 4402976 6604464 7292429 11420219 13208928 14584858 21877287 22840438 29169716 34260657 43754574 45680876 58339432 68521314 87509148 91361752 116678864 137042628 175018296 182723504 233357728 274085256 350036592 365447008 548170512 605271607 700073184 1096341024 1210543214 1815814821 2421086428 3631629642 4842172856 7263259284 9684345712 14526518568 19368691424 29053037136 58106074272