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54549620201960 = 23513104903115773
BaseRepresentation
bin11000110011100110100101…
…01111000001100111101000
321011010220002211020002222022
430121303102233001213220
524122220110232430320
6312003425523444012
714330036304154502
oct1431632257014750
9234126084202868
1054549620201960
1116421400553324
1261500b9526608
13245901281bc10
14d68303c74d72
15648e62ac0325
hex319cd2bc19e8

54549620201960 has 32 divisors (see below), whose sum is σ = 132177925875240. Its totient is φ = 20141398228224.

The previous prime is 54549620201953. The next prime is 54549620202019. The reversal of 54549620201960 is 6910202694545.

54549620201960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45525760409284 + 9023859792676 = 6747278^2 + 3003974^2 .

It is a super-2 number, since 2×545496202019602 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52451557367 + ... + 52451558406.

Almost surely, 254549620201960 is an apocalyptic number.

It is an amenable number.

54549620201960 is an abundant number, since it is smaller than the sum of its proper divisors (77628305673280).

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

54549620201960 is a wasteful number, since it uses less digits than its factorization.

54549620201960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104903115797 (or 104903115793 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

The spelling of 54549620201960 in words is "fifty-four trillion, five hundred forty-nine billion, six hundred twenty million, two hundred one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 104903115773 209806231546 419612463092 524515578865 839224926184 1049031157730 1363740505049 2098062315460 2727481010098 4196124630920 5454962020196 6818702525245 10909924040392 13637405050490 27274810100980 54549620201960