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4196425680 = 243255828369
BaseRepresentation
bin1111101000100000…
…0101111111010000
3101211110022111211100
43322020011333100
532043241110210
61532223544400
7205664013126
oct37210057720
911743274740
104196425680
1118638557a7
1299145b100
1351b526b25
142bb485916
151986255c0
hexfa205fd0

4196425680 has 60 divisors (see below), whose sum is σ = 14092998660. Its totient is φ = 1119046656.

The previous prime is 4196425663. The next prime is 4196425699. The reversal of 4196425680 is 865246914.

4196425680 is a `hidden beast` number, since 41 + 9 + 6 + 42 + 568 + 0 = 666.

4196425680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2222933904 + 1973491776 = 47148^2 + 44424^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2913465 + ... + 2914904.

It is an arithmetic number, because the mean of its divisors is an integer number (234883311).

Almost surely, 24196425680 is an apocalyptic number.

4196425680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4196425680 is an abundant number, since it is smaller than the sum of its proper divisors (9896572980).

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

4196425680 is a wasteful number, since it uses less digits than its factorization.

4196425680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828388 (or 5828379 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4196425680 is about 64779.8246369964. The cubic root of 4196425680 is about 1612.9708248351.

The spelling of 4196425680 in words is "four billion, one hundred ninety-six million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5828369 11656738 17485107 23313476 29141845 34970214 46626952 52455321 58283690 69940428 87425535 93253904 104910642 116567380 139880856 174851070 209821284 233134760 262276605 279761712 349702140 419642568 466269520 524553210 699404280 839285136 1049106420 1398808560 2098212840 4196425680