Search a number
-
+
3745545696 = 253219684493
BaseRepresentation
bin1101111101000000…
…0111110111100000
3100200000220102202200
43133100013313200
530132324430241
61415400013200
7161550420204
oct33720076740
910600812680
103745545696
111652298a12
12886461200
13478cac739
14277638b04
1516dc614b6
hexdf407de0

3745545696 has 72 divisors (see below), whose sum is σ = 11212011720. Its totient is φ = 1182802176.

The previous prime is 3745545679. The next prime is 3745545701. The reversal of 3745545696 is 6965455473.

3745545696 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 545 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×37455456962 = 28058225121648248832, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 336775 + ... + 347718.

It is an arithmetic number, because the mean of its divisors is an integer number (155722385).

Almost surely, 23745545696 is an apocalyptic number.

3745545696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3745545696 is an abundant number, since it is smaller than the sum of its proper divisors (7466466024).

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

3745545696 is a wasteful number, since it uses less digits than its factorization.

3745545696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684528 (or 684517 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The square root of 3745545696 is about 61200.8635233197. The cubic root of 3745545696 is about 1553.0008733412. Note that the first 3 decimals are identical.

The spelling of 3745545696 in words is "three billion, seven hundred forty-five million, five hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 684493 1368986 2053479 2737972 4106958 5475944 6160437 8213916 10951888 12320874 13005367 16427832 21903776 24641748 26010734 32855664 39016101 49283496 52021468 65711328 78032202 98566992 104042936 117048303 156064404 197133984 208085872 234096606 312128808 416171744 468193212 624257616 936386424 1248515232 1872772848 3745545696