Search a number
-
+
48006703543969 = 1972351712
BaseRepresentation
bin10101110101001011011101…
…00000101111011010100001
320021222101200201012201202001
422322211232200233122201
522243020212101401334
6250033550344324001
713053240603203032
oct1272455640573241
9207871621181661
1048006703543969
111432958a689095
12547402ba73601
1320a3021c37b91
14bbd773184a89
15583b7043c714
hex2ba96e82f6a1

48006703543969 has 9 divisors (see below), whose sum is σ = 48253001347891. Its totient is φ = 47761656670840.

The previous prime is 48006703543901. The next prime is 48006703543987. The reversal of 48006703543969 is 96934530760084.

The square root of 48006703543969 is 6928687.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47036896139025 + 969807404944 = 6858345^2 + 984788^2 .

It is a de Polignac number, because none of the positive numbers 2k-48006703543969 is a prime.

It is a super-2 number, since 2×480067035439692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48006703543969.

It is not an unprimeable number, because it can be changed into a prime (48006703540969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1364933754 + ... + 1364968924.

Almost surely, 248006703543969 is an apocalyptic number.

48006703543969 is the 6928687-th square number.

48006703543969 is the 3464344-th centered octagonal number.

It is an amenable number.

48006703543969 is a deficient number, since it is larger than the sum of its proper divisors (246297803922).

48006703543969 is an frugal number, since it uses more digits than its factorization.

48006703543969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70736 (or 35368 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 64.

The spelling of 48006703543969 in words is "forty-eight trillion, six billion, seven hundred three million, five hundred forty-three thousand, nine hundred sixty-nine".

Divisors: 1 197 35171 38809 6928687 1236999241 1364951339 243688850477 48006703543969