Search a number
-
+
5860055601 = 32172192792
BaseRepresentation
bin1010111010100100…
…10101101000110001
3120010101201200001100
411131102111220301
544000133234401
62405253155013
7265134436131
oct53522255061
916111650040
105860055601
112537937564
12117662ba69
137250aab2a
143d83c0ac1
152446e2b86
hex15d495a31

5860055601 has 81 divisors (see below), whose sum is σ = 9611529291. Its totient is φ = 3439283328.

The previous prime is 5860055599. The next prime is 5860055629. The reversal of 5860055601 is 1065500685.

The square root of 5860055601 is 76551.

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., 4562327025 + 1297728576 = 67545^2 + 36024^2 .

It is not a de Polignac number, because 5860055601 - 21 = 5860055599 is a prime.

It is a super-2 number, since 2×58600556012 = 68680503293622942402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5860055651) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 74177880 + ... + 74177958.

Almost surely, 25860055601 is an apocalyptic number.

5860055601 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5860055601 is the 76551-st square number.

5860055601 is the 38276-th centered octagonal number.

It is an amenable number.

5860055601 is a deficient number, since it is larger than the sum of its proper divisors (3751473690).

5860055601 is a wasteful number, since it uses less digits than its factorization.

5860055601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The cubic root of 5860055601 is about 1802.8817625995.

Multiplying 5860055601 by its sum of digits (36), we get a square (210962001636 = 4593062).

The spelling of 5860055601 in words is "five billion, eight hundred sixty million, fifty-five thousand, six hundred one".

Divisors: 1 3 9 17 19 51 57 79 153 171 237 289 323 361 711 867 969 1083 1343 1501 2601 2907 3249 4029 4503 5491 6137 6241 12087 13509 16473 18411 18723 22831 25517 28519 49419 55233 56169 68493 76551 85557 104329 106097 118579 205479 229653 256671 312987 318291 355737 433789 484823 938961 954873 1067211 1301367 1454469 1803649 2015843 2253001 3904101 4363407 5410947 6047529 6759003 8241991 16232841 18142587 20277009 24725973 34269331 38301017 74177919 102807993 114903051 308423979 344709153 651117289 1953351867 5860055601