Search a number
-
+
146245352736 = 25371712801589
BaseRepresentation
bin1000100000110011100…
…1101111110100100000
3111222111002102200002210
42020030321233310200
54344002302241421
6151103441242120
713365044662530
oct2101471576440
9458432380083
10146245352736
115702776408a
1224415333340
1310a387340a2
147114c674c0
153c0e171576
hex220ce6fd20

146245352736 has 96 divisors (see below), whose sum is σ = 464544097920. Its totient is φ = 39326478336.

The previous prime is 146245352723. The next prime is 146245352749. The reversal of 146245352736 is 637253542641.

It is a happy number.

146245352736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146245352723) and next prime (146245352749).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 6389371 + ... + 6412218.

It is an arithmetic number, because the mean of its divisors is an integer number (4839001020).

Almost surely, 2146245352736 is an apocalyptic number.

146245352736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146245352736 is an abundant number, since it is smaller than the sum of its proper divisors (318298745184).

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

146245352736 is a wasteful number, since it uses less digits than its factorization.

146245352736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801626 (or 12801618 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The spelling of 146245352736 in words is "one hundred forty-six billion, two hundred forty-five million, three hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 12801589 25603178 38404767 51206356 76809534 89611123 102412712 153619068 179222246 204825424 217627013 268833369 307238136 358444492 409650848 435254026 537666738 614476272 652881039 716888984 870508052 1075333476 1228952544 1305762078 1433777968 1523389091 1741016104 2150666952 2611524156 2867555936 3046778182 3482032208 4301333904 4570167273 5223048312 6093556364 6964064416 8602667808 9140334546 10446096624 12187112728 18280669092 20892193248 24374225456 36561338184 48748450912 73122676368 146245352736