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54042238448 = 2411717615683
BaseRepresentation
bin110010010101001010…
…110001110111110000
312011111022000011022222
4302111022301313300
51341134303112243
640454320420212
73622134306332
oct622512616760
9164438004288
1054042238448
1120a12486690
12a582777668
13513335cab3
14288951b452
1516146b0168
hexc952b1df0

54042238448 has 80 divisors (see below), whose sum is σ = 116007075072. Its totient is φ = 24182592000.

The previous prime is 54042238447. The next prime is 54042238493. The reversal of 54042238448 is 84483224045.

54042238448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 54042238399 and 54042238408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54042238447) 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, 9506615 + ... + 9512297.

Almost surely, 254042238448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54042238448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58003537536).

54042238448 is an abundant number, since it is smaller than the sum of its proper divisors (61964836624).

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

54042238448 is a wasteful number, since it uses less digits than its factorization.

54042238448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 44.

The spelling of 54042238448 in words is "fifty-four billion, forty-two million, two hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 761 781 1136 1522 1562 3044 3124 5683 6088 6248 8371 11366 12176 12496 16742 22732 33484 45464 54031 62513 66968 90928 108062 125026 133936 216124 250052 403493 432248 500104 594341 806986 864496 1000208 1188682 1613972 2377364 3227944 4324763 4438423 4754728 6455888 8649526 8876846 9509456 17299052 17753692 34598104 35507384 47572393 69196208 71014768 95144786 190289572 307058173 380579144 614116346 761158288 1228232692 2456465384 3377639903 4912930768 6755279806 13510559612 27021119224 54042238448