Search a number
-
+
107162465340 = 22357255148727
BaseRepresentation
bin110001111001101100…
…0010111010000111100
3101020121100002021120210
41203303120113100330
53223432042342330
6121121343312420
710512404632440
oct1436330272074
9336540067523
10107162465340
11414a1466347
12189285ab710
13a14a68a308
1452883cc820
152bc2e468b0
hex18f361743c

107162465340 has 48 divisors (see below), whose sum is σ = 342919890432. Its totient is φ = 24494277696.

The previous prime is 107162465323. The next prime is 107162465341. The reversal of 107162465340 is 43564261701.

It is a happy number.

It is a super-2 number, since 2×1071624653402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107162465341) 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 15 ways as a sum of consecutive naturals, for example, 127573944 + ... + 127574783.

It is an arithmetic number, because the mean of its divisors is an integer number (7144164384).

Almost surely, 2107162465340 is an apocalyptic number.

107162465340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107162465340 is an abundant number, since it is smaller than the sum of its proper divisors (235757425092).

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

107162465340 is a wasteful number, since it uses less digits than its factorization.

107162465340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255148746 (or 255148744 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 107162465340 in words is "one hundred seven billion, one hundred sixty-two million, four hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 255148727 510297454 765446181 1020594908 1275743635 1530892362 1786041089 2551487270 3061784724 3572082178 3827230905 5102974540 5358123267 7144164356 7654461810 8930205445 10716246534 15308923620 17860410890 21432493068 26790616335 35720821780 53581232670 107162465340