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58075989504 = 293134017253
BaseRepresentation
bin110110000101100110…
…010100011000000000
312112220102012221112020
4312011212110120000
51422414423131004
642402454001440
74124114523441
oct660546243000
9175812187466
1058075989504
11226a2422545
12b309646280
135626c6a940
142b4d1392c8
15179d8a08d9
hexd85994600

58075989504 has 160 divisors (see below), whose sum is σ = 167057995104. Its totient is φ = 17822515200.

The previous prime is 58075989473. The next prime is 58075989557. The reversal of 58075989504 is 40598957085.

It is a super-3 number, since 3×580759895043 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8003542 + ... + 8010794.

Almost surely, 258075989504 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 58075989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83528997552).

58075989504 is an abundant number, since it is smaller than the sum of its proper divisors (108982005600).

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

58075989504 is a wasteful number, since it uses less digits than its factorization.

58075989504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7688 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 60.

The spelling of 58075989504 in words is "fifty-eight billion, seventy-five million, nine hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 401 416 512 624 768 802 832 1203 1248 1536 1604 1664 2406 2496 3208 3328 4812 4992 5213 6416 6656 7253 9624 9984 10426 12832 14506 15639 19248 19968 20852 21759 25664 29012 31278 38496 41704 43518 51328 58024 62556 76992 83408 87036 94289 102656 116048 125112 153984 166816 174072 188578 205312 232096 250224 282867 307968 333632 348144 377156 464192 500448 565734 615936 667264 696288 754312 928384 1000896 1131468 1334528 1392576 1508624 1856768 2001792 2262936 2669056 2785152 2908453 3017248 3713536 4003584 4525872 5570304 5816906 6034496 8007168 8725359 9051744 11140608 11633812 12068992 17450718 18103488 23267624 24137984 34901436 36206976 37809889 46535248 48275968 69802872 72413952 75619778 93070496 113429667 139605744 144827904 151239556 186140992 226859334 279211488 302479112 372281984 453718668 558422976 604958224 744563968 907437336 1116845952 1209916448 1489127936 1814874672 2233691904 2419832896 3629749344 4467383808 4839665792 7259498688 9679331584 14518997376 19358663168 29037994752 58075989504