Search a number
-
+
3744064558668 = 2237109740630991
BaseRepresentation
bin110110011110111011101…
…000110101011001001100
3111020221002022000011222110
4312132323220311121030
5442320321011334133
611543555521144020
7534333260436510
oct66367350653114
914227068004873
103744064558668
111213937921505
1250575b78b010
132120aa1559a5
14cd2dc526140
15675d205bc63
hex367bba3564c

3744064558668 has 48 divisors (see below), whose sum is σ = 9993273744384. Its totient is φ = 1068757560960.

The previous prime is 3744064558667. The next prime is 3744064558691. The reversal of 3744064558668 is 8668554604473.

It is a happy number.

It is a super-2 number, since 2×37440645586682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3744064558599 and 3744064558608.

It is not an unprimeable number, because it can be changed into a prime (3744064558667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20223348 + ... + 20407643.

It is an arithmetic number, because the mean of its divisors is an integer number (208193203008).

Almost surely, 23744064558668 is an apocalyptic number.

It is an amenable number.

3744064558668 is an abundant number, since it is smaller than the sum of its proper divisors (6249209185716).

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

3744064558668 is a wasteful number, since it uses less digits than its factorization.

3744064558668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40632102 (or 40632100 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 66.

The spelling of 3744064558668 in words is "three trillion, seven hundred forty-four billion, sixty-four million, five hundred fifty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1097 2194 3291 4388 6582 7679 13164 15358 23037 30716 46074 92148 40630991 81261982 121892973 162523964 243785946 284416937 487571892 568833874 853250811 1137667748 1706501622 3413003244 44572197127 89144394254 133716591381 178288788508 267433182762 312005379889 534866365524 624010759778 936016139667 1248021519556 1872032279334 3744064558668