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58016455504 = 2472137353897
BaseRepresentation
bin110110000010000011…
…001101101101010000
312112202021012022020021
4312002003031231100
51422304203034004
642352525553224
74122462510100
oct660203155520
9175667168207
1058016455504
112267185a797
12b2b1715814
135617824b17
142b4527d200
151798540d54
hexd820cdb50

58016455504 has 60 divisors (see below), whose sum is σ = 130856690484. Its totient is φ = 24845624832.

The previous prime is 58016455489. The next prime is 58016455513. The reversal of 58016455504 is 40555461085.

It can be written as a sum of positive squares in 2 ways, for example, as 52279907904 + 5736547600 = 228648^2 + 75740^2 .

It is a super-2 number, since 2×580164555042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049484 + ... + 1103380.

Almost surely, 258016455504 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 58016455504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65428345242).

58016455504 is an abundant number, since it is smaller than the sum of its proper divisors (72840234980).

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

58016455504 is a wasteful number, since it uses less digits than its factorization.

58016455504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55292 (or 55279 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 43.

The spelling of 58016455504 in words is "fifty-eight billion, sixteen million, four hundred fifty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1373 2746 5492 9611 10984 19222 21968 38444 53897 67277 76888 107794 134554 153776 215588 269108 377279 431176 538216 754558 862352 1076432 1509116 2640953 3018232 5281906 6036464 10563812 21127624 42255248 74000581 148001162 296002324 518004067 592004648 1036008134 1184009296 2072016268 3626028469 4144032536 7252056938 8288065072 14504113876 29008227752 58016455504