Search a number
-
+
10437244783680 = 26351113661115021
BaseRepresentation
bin1001011111100001110001…
…0001001000110001000000
31100221210100112102200001210
42113320130101020301000
52332000434131034210
634110445402130120
72125031440601421
oct227703421106100
940853315380053
1010437244783680
113364457644680
1212069841b0940
135a92c6a9bbb0
142812459b5648
1513176b4d2e20
hex97e1c448c40

10437244783680 has 448 divisors, whose sum is σ = 38990890020096. Its totient is φ = 2332053504000.

The previous prime is 10437244783661. The next prime is 10437244783703. The reversal of 10437244783680 is 8638744273401.

It is a self number, because there is not a number n which added to its sum of digits gives 10437244783680.

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 63 ways as a sum of consecutive naturals, for example, 90684570 + ... + 90799590.

It is an arithmetic number, because the mean of its divisors is an integer number (87033236652).

Almost surely, 210437244783680 is an apocalyptic number.

10437244783680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10437244783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495445010048).

10437244783680 is an abundant number, since it is smaller than the sum of its proper divisors (28553645236416).

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

10437244783680 is a wasteful number, since it uses less digits than its factorization.

10437244783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115726 (or 115716 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 10437244783680 in words is "ten trillion, four hundred thirty-seven billion, two hundred forty-four million, seven hundred eighty-three thousand, six hundred eighty".