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58804407424 = 27782179939
BaseRepresentation
bin110110110001000001…
…000000110010000000
312121210011212102001201
4312301001000302000
51430412412014144
643003034310544
74151141134030
oct666101006200
9177704772051
1058804407424
1122a36611724
12b491588454
135711b49b69
142bbbb8d8c0
1517e27d81d4
hexdb1040c80

58804407424 has 64 divisors (see below), whose sum is σ = 134049787200. Its totient is φ = 25170877440.

The previous prime is 58804407367. The next prime is 58804407463. The reversal of 58804407424 is 42470440885.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695647 + ... + 775585.

It is an arithmetic number, because the mean of its divisors is an integer number (2094527925).

Almost surely, 258804407424 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 58804407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67024893600).

58804407424 is an abundant number, since it is smaller than the sum of its proper divisors (75245379776).

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

58804407424 is an equidigital number, since it uses as much as digits as its factorization.

58804407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80781 (or 80769 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 46.

The spelling of 58804407424 in words is "fifty-eight billion, eight hundred four million, four hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 821 896 1642 3284 5747 6568 11494 13136 22988 26272 45976 52544 79939 91952 105088 159878 183904 319756 367808 559573 639512 735616 1119146 1279024 2238292 2558048 4476584 5116096 8953168 10232192 17906336 35812672 65629919 71625344 131259838 262519676 459409433 525039352 918818866 1050078704 1837637732 2100157408 3675275464 4200314816 7350550928 8400629632 14701101856 29402203712 58804407424