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54319235504961 = 376738606421823
BaseRepresentation
bin11000101100111001011101…
…01111001001101101000001
321010022212102220202220000210
430112130232233021231001
524104431243242124321
6311305525020104333
714304302202434160
oct1426345657115501
9233285386686023
1054319235504961
1116342727385599
1261135220950a9
1324403885238bb
14d5b0ca6093d7
15642e7bd82b76
hex31672ebc9b41

54319235504961 has 16 divisors (see below), whose sum is σ = 84007573889024. Its totient is φ = 30576286083024.

The previous prime is 54319235504959. The next prime is 54319235505061. The reversal of 54319235504961 is 16940553291345.

It is a happy number.

It is not a de Polignac number, because 54319235504961 - 21 = 54319235504959 is a prime.

It is a super-2 number, since 2×543192355049612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54319235544961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19303209505 + ... + 19303212318.

It is an arithmetic number, because the mean of its divisors is an integer number (5250473368064).

Almost surely, 254319235504961 is an apocalyptic number.

It is an amenable number.

54319235504961 is a deficient number, since it is larger than the sum of its proper divisors (29688338384063).

54319235504961 is a wasteful number, since it uses less digits than its factorization.

54319235504961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38606421900.

The product of its (nonzero) digits is 17496000, while the sum is 57.

The spelling of 54319235504961 in words is "fifty-four trillion, three hundred nineteen billion, two hundred thirty-five million, five hundred four thousand, nine hundred sixty-one".

Divisors: 1 3 7 21 67 201 469 1407 38606421823 115819265469 270244952761 810734858283 2586630262141 7759890786423 18106411834987 54319235504961