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58261407876 = 2232748212
BaseRepresentation
bin110110010000101001…
…101000100010000100
312120101100010011201100
4312100221220202010
51423304410023001
642433120100100
74131525540000
oct662051504204
9176340104640
1058261407876
1122788056071
12b35b764630
1356564bab59
142b69a03700
1517aecc9586
hexd90a68884

58261407876 has 135 divisors (see below), whose sum is σ = 172016504933. Its totient is φ = 16625841120.

The previous prime is 58261407857. The next prime is 58261407877. The reversal of 58261407876 is 67870416285.

The square root of 58261407876 is 241374.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15907767876 + 42353640000 = 126126^2 + 205800^2 .

It is not an unprimeable number, because it can be changed into a prime (58261407877) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 70963546 + ... + 70964366.

Almost surely, 258261407876 is an apocalyptic number.

58261407876 is the 241374-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58261407876

58261407876 is an abundant number, since it is smaller than the sum of its proper divisors (113755097057).

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

58261407876 is an frugal number, since it uses more digits than its factorization.

58261407876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 58261407876 in words is "fifty-eight billion, two hundred sixty-one million, four hundred seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 821 882 1029 1372 1642 1764 2058 2401 2463 3087 3284 4116 4802 4926 5747 6174 7203 7389 9604 9852 11494 12348 14406 14778 17241 21609 22988 28812 29556 34482 40229 43218 51723 68964 80458 86436 103446 120687 160916 206892 241374 281603 362061 482748 563206 674041 724122 844809 1126412 1348082 1448244 1689618 1971221 2022123 2534427 2696164 3379236 3942442 4044246 4718287 5068854 5913663 6066369 7884884 8088492 9436574 10137708 11827326 12132738 14154861 17740989 18873148 23654652 24265476 28309722 33028009 35481978 42464583 56619444 66056018 70963956 84929166 99084027 132112036 169858332 198168054 231196063 297252081 396336108 462392126 594504162 693588189 924784252 1189008324 1387176378 1618372441 2080764567 2774352756 3236744882 4161529134 4855117323 6473489764 8323058268 9710234646 14565351969 19420469292 29130703938 58261407876