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58405290027 = 3719274310369
BaseRepresentation
bin110110011001001110…
…100000000000101011
312120202100212010220220
4312121032200000223
51424103223240102
642455300021123
74135223526330
oct663116400053
9176670763826
1058405290027
1122851299937
12b39b9917a3
13567a257216
142b80b78987
1517bc74b1bc
hexd993a002b

58405290027 has 48 divisors (see below), whose sum is σ = 94064693760. Its totient is φ = 31572301824.

The previous prime is 58405290023. The next prime is 58405290043. The reversal of 58405290027 is 72009250485.

It is not a de Polignac number, because 58405290027 - 22 = 58405290023 is a prime.

It is a super-3 number, since 3×584052900273 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (58405290023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5627499 + ... + 5637867.

It is an arithmetic number, because the mean of its divisors is an integer number (1959681120).

Almost surely, 258405290027 is an apocalyptic number.

58405290027 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

58405290027 is a deficient number, since it is larger than the sum of its proper divisors (35659403733).

58405290027 is a wasteful number, since it uses less digits than its factorization.

58405290027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 58405290027 in words is "fifty-eight billion, four hundred five million, two hundred ninety thousand, twenty-seven".

Divisors: 1 3 7 19 21 57 133 361 399 743 1083 2229 2527 5201 7581 10369 14117 15603 31107 42351 72583 98819 197011 217749 268223 296457 591033 804669 1379077 1877561 3743209 4137231 5632683 7704167 11229627 23112501 26202463 53929169 78607389 146379173 161787507 439137519 1024654211 2781204287 3073962633 8343612861 19468430009 58405290027