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4148936704 = 2141123021
BaseRepresentation
bin1111011101001011…
…1100000000000000
3101201010221211012101
43313102330000000
531444111433304
61523410040144
7204546244243
oct36722740000
911633854171
104148936704
111839a6a610
12979579054
1351173a643
142b504325a
151943948a4
hexf74bc000

4148936704 has 60 divisors (see below), whose sum is σ = 9052342488. Its totient is φ = 1885798400.

The previous prime is 4148936629. The next prime is 4148936713. The reversal of 4148936704 is 4076398414.

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 3 ways as a sum of consecutive naturals, for example, 168714 + ... + 191734.

Almost surely, 24148936704 is an apocalyptic number.

4148936704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148936704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526171244).

4148936704 is an abundant number, since it is smaller than the sum of its proper divisors (4903405784).

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

4148936704 is an equidigital number, since it uses as much as digits as its factorization.

4148936704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23060 (or 23034 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 4148936704 is about 64412.2403274409. The cubic root of 4148936704 is about 1606.8633172021.

The spelling of 4148936704 in words is "four billion, one hundred forty-eight million, nine hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 16384 22528 23021 45056 46042 90112 92084 180224 184168 253231 368336 506462 736672 1012924 1473344 2025848 2946688 4051696 5893376 8103392 11786752 16206784 23573504 32413568 47147008 64827136 94294016 129654272 188588032 259308544 377176064 518617088 1037234176 2074468352 4148936704