Search a number
-
+
4137445437642 = 2321137635988813
BaseRepresentation
bin111100001101010010111…
…101110011000011001010
3112122112110200112100220200
4330031102331303003022
51020241442013001032
612444414410433030
7604630516644546
oct74152275630312
915575420470820
104137445437642
1113557540a5250
12569a46132776
1324020c36636a
14104379596a26
15729577c447c
hex3c352f730ca

4137445437642 has 96 divisors (see below), whose sum is σ = 10045417599360. Its totient is φ = 1219680063360.

The previous prime is 4137445437641. The next prime is 4137445437659. The reversal of 4137445437642 is 2467345447314.

It is a happy number.

4137445437642 is a `hidden beast` number, since 4 + 1 + 37 + 4 + 4 + 543 + 7 + 64 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4137445437641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46541628 + ... + 46630440.

It is an arithmetic number, because the mean of its divisors is an integer number (104639766660).

Almost surely, 24137445437642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137445437642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022708799680).

4137445437642 is an abundant number, since it is smaller than the sum of its proper divisors (5907972161718).

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

4137445437642 is a wasteful number, since it uses less digits than its factorization.

4137445437642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95228 (or 95225 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 54.

The spelling of 4137445437642 in words is "four trillion, one hundred thirty-seven billion, four hundred forty-five million, four hundred thirty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 6359 7326 12718 19077 38154 57231 69949 88813 114462 139898 177626 209847 235283 266439 419694 470566 532878 629541 705849 799317 976943 1259082 1411698 1598634 1953886 2117547 2588113 2930829 3286081 4235094 5176226 5861658 6572162 7764339 8792487 9858243 15528678 17584974 19716486 23293017 29574729 36146891 46586034 59149458 72293782 108440673 216881346 325322019 564761867 650644038 1129523734 1694285601 3388571202 5082856803 6212380537 10165713606 12424761074 18637141611 20896189079 37274283222 41792378158 55911424833 62688567237 111822849666 125377134474 188065701711 229858079869 376131403422 459716159738 689574239607 1379148479214 2068722718821 4137445437642