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54854841496 = 237133115116097
BaseRepresentation
bin110011000101100110…
…100111010010011000
312020120221001200011011
4303011212213102120
51344320314411441
641111105343304
73651232313410
oct630546472230
9166527050134
1054854841496
112129a145354
12a76a937b34
1352328062c0
142925407640
151660bc6581
hexcc59a7498

54854841496 has 128 divisors (see below), whose sum is σ = 131545128960. Its totient is φ = 20860416000.

The previous prime is 54854841487. The next prime is 54854841521. The reversal of 54854841496 is 69414845845.

It is a self number, because there is not a number n which added to its sum of digits gives 54854841496.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3399720 + ... + 3415816.

It is an arithmetic number, because the mean of its divisors is an integer number (1027696320).

Almost surely, 254854841496 is an apocalyptic number.

54854841496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54854841496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65772564480).

54854841496 is an abundant number, since it is smaller than the sum of its proper divisors (76690287464).

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

54854841496 is a wasteful number, since it uses less digits than its factorization.

54854841496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305 (or 16301 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 58.

The spelling of 54854841496 in words is "fifty-four billion, eight hundred fifty-four million, eight hundred forty-one thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 151 182 217 248 302 364 403 434 604 728 806 868 1057 1208 1612 1736 1963 2114 2821 3224 3926 4228 4681 5642 7852 8456 9362 11284 13741 15704 16097 18724 22568 27482 32194 32767 37448 54964 60853 64388 65534 109928 112679 121706 128776 131068 209261 225358 243412 262136 418522 425971 450716 486824 499007 837044 851942 901432 998014 1464827 1674088 1703884 1996028 2430647 2929654 3407768 3493049 3992056 4861294 5859308 6487091 6986098 9722588 11718616 12974182 13972196 17014529 19445176 25948364 27944392 31598411 34029058 45409637 51896728 63196822 68058116 75350057 90819274 126393644 136116232 150700114 181638548 221188877 252787288 301400228 363277096 442377754 527450399 602800456 884755508 979550741 1054900798 1769511016 1959101482 2109801596 3918202964 4219603192 6856855187 7836405928 13713710374 27427420748 54854841496