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54948462961 = 7232411416161
BaseRepresentation
bin110011001011001011…
…110000000101110001
312020211110020010122211
4303023023300011301
51400013301303321
641124252132121
73653450141320
oct631313600561
9166743203584
1054948462961
1121337a7a567
12a796167041
135249025712
142933a180b7
15166901b0e1
hexccb2f0171

54948462961 has 16 divisors (see below), whose sum is σ = 65800551168. Its totient is φ = 44863948800.

The previous prime is 54948462949. The next prime is 54948462967. The reversal of 54948462961 is 16926484945.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 54948462961 - 211 = 54948460913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54948462896 and 54948462905.

It is not an unprimeable number, because it can be changed into a prime (54948462967) by changing a digit.

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, 669280 + ... + 746881.

It is an arithmetic number, because the mean of its divisors is an integer number (4112534448).

Almost surely, 254948462961 is an apocalyptic number.

It is an amenable number.

54948462961 is a deficient number, since it is larger than the sum of its proper divisors (10852088207).

54948462961 is a wasteful number, since it uses less digits than its factorization.

54948462961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416432.

The product of its digits is 14929920, while the sum is 58.

The spelling of 54948462961 in words is "fifty-four billion, nine hundred forty-eight million, four hundred sixty-two thousand, nine hundred sixty-one".

Divisors: 1 7 23 161 241 1687 5543 38801 1416161 9913127 32571703 228001921 341294801 2389063607 7849780423 54948462961