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4121660640 = 25358586793
BaseRepresentation
bin1111010110101011…
…1000110011100000
3101122020122001110210
43311222320303200
531420121120030
61520553254120
7204065352216
oct36552706340
911566561423
104121660640
11182562a709
12970404340
13508baa466
142b1582cb6
15191ca7bb0
hexf5ab8ce0

4121660640 has 48 divisors (see below), whose sum is σ = 12983232528. Its totient is φ = 1099109376.

The previous prime is 4121660617. The next prime is 4121660663. The reversal of 4121660640 is 460661214.

It is an interprime number because it is at equal distance from previous prime (4121660617) and next prime (4121660663).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4121660598 and 4121660607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4292917 + ... + 4293876.

It is an arithmetic number, because the mean of its divisors is an integer number (270484011).

Almost surely, 24121660640 is an apocalyptic number.

4121660640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121660640 is an abundant number, since it is smaller than the sum of its proper divisors (8861571888).

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

4121660640 is a wasteful number, since it uses less digits than its factorization.

4121660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586811 (or 8586803 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4121660640 is about 64200.1607474623. The cubic root of 4121660640 is about 1603.3342759674.

The spelling of 4121660640 in words is "four billion, one hundred twenty-one million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8586793 17173586 25760379 34347172 42933965 51520758 68694344 85867930 103041516 128801895 137388688 171735860 206083032 257603790 274777376 343471720 412166064 515207580 686943440 824332128 1030415160 1373886880 2060830320 4121660640