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53006454528 = 283118158441
BaseRepresentation
bin110001010111011011…
…100100111100000000
312001211002222212220120
4301113123210330000
51332024123021103
640203440140240
73554356300206
oct612733447400
9161732885816
1053006454528
1120530841915
12a333907680
134cc98a40c1
1427cbb37076
1515a37b1253
hexc576e4f00

53006454528 has 72 divisors (see below), whose sum is σ = 141196339536. Its totient is φ = 17653555200.

The previous prime is 53006454521. The next prime is 53006454547. The reversal of 53006454528 is 82545460035.

It is a self number, because there is not a number n which added to its sum of digits gives 53006454528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53006454521) 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 7 ways as a sum of consecutive naturals, for example, 877788 + ... + 936228.

Almost surely, 253006454528 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 53006454528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70598169768).

53006454528 is an abundant number, since it is smaller than the sum of its proper divisors (88189885008).

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

53006454528 is a wasteful number, since it uses less digits than its factorization.

53006454528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59641 (or 59627 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 53006454528 in words is "fifty-three billion, six million, four hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1181 2362 3543 4724 7086 9448 14172 18896 28344 37792 56688 58441 75584 113376 116882 151168 175323 226752 233764 302336 350646 453504 467528 701292 907008 935056 1402584 1870112 2805168 3740224 5610336 7480448 11220672 14960896 22441344 44882688 69018821 138037642 207056463 276075284 414112926 552150568 828225852 1104301136 1656451704 2208602272 3312903408 4417204544 6625806816 8834409088 13251613632 17668818176 26503227264 53006454528