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3745864650 = 2352119072503
BaseRepresentation
bin1101111101000101…
…0101101111001010
3100200001111122021210
43133101111233022
530132420132100
61415410513550
7161553216123
oct33721255712
910601448253
103745864650
111652496610
128865958b6
13479091978
142776bd04a
1516dcc5c50
hexdf455bca

3745864650 has 96 divisors (see below), whose sum is σ = 10149493248. Its totient is φ = 906724800.

The previous prime is 3745864627. The next prime is 3745864651. The reversal of 3745864650 is 564685473.

It is a super-2 number, since 2×37458646502 = 28063003952239245000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3745864650.

It is not an unprimeable number, because it can be changed into a prime (3745864651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495299 + ... + 1497801.

It is an arithmetic number, because the mean of its divisors is an integer number (105723888).

Almost surely, 23745864650 is an apocalyptic number.

3745864650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745864650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074746624).

3745864650 is an abundant number, since it is smaller than the sum of its proper divisors (6403628598).

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

3745864650 is a wasteful number, since it uses less digits than its factorization.

3745864650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 3745864650 is about 61203.4692644134. The cubic root of 3745864650 is about 1553.0449543040.

The spelling of 3745864650 in words is "three billion, seven hundred forty-five million, eight hundred sixty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 907 1650 1814 2503 2721 4535 5006 5442 7509 9070 9977 12515 13605 15018 19954 22675 25030 27210 27533 29931 37545 45350 49885 55066 59862 62575 68025 75090 82599 99770 125150 136050 137665 149655 165198 187725 249425 275330 299310 375450 412995 498850 688325 748275 825990 1376650 1496550 2064975 2270221 4129950 4540442 6810663 11351105 13621326 22702210 24972431 34053315 49944862 56755525 68106630 74917293 113511050 124862155 149834586 170266575 249724310 340533150 374586465 624310775 749172930 1248621550 1872932325 3745864650