Search a number
-
+
48037968679967 = 773233403466809
BaseRepresentation
bin10101110110000101101100…
…00011110001010000011111
320022002101101122002012102222
422323002312003301100133
522244023224440224332
6250100201012535555
713055425434365030
oct1273026603612037
9208071348065388
1048037968679967
1114340873a77562
12547a0b66215bb
1320a5c6544c056
14bc109b636a87
155848a016b712
hex2bb0b60f141f

48037968679967 has 16 divisors (see below), whose sum is σ = 55891450255680. Its totient is φ = 40437057364992.

The previous prime is 48037968679963. The next prime is 48037968679973. The reversal of 48037968679967 is 76997686973084.

48037968679967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 48037968679967 - 22 = 48037968679963 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48037968679963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201614342 + ... + 201852467.

It is an arithmetic number, because the mean of its divisors is an integer number (3493215640980).

Almost surely, 248037968679967 is an apocalyptic number.

48037968679967 is a deficient number, since it is larger than the sum of its proper divisors (7853481575713).

48037968679967 is a wasteful number, since it uses less digits than its factorization.

48037968679967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403467122.

The product of its (nonzero) digits is 41479796736, while the sum is 89.

The spelling of 48037968679967 in words is "forty-eight trillion, thirty-seven billion, nine hundred sixty-eight million, six hundred seventy-nine thousand, nine hundred sixty-seven".

Divisors: 1 7 73 233 511 1631 17009 119063 403466809 2824267663 29453077057 94007766497 206171539399 658054365479 6862566954281 48037968679967