Search a number
-
+
53453548728 = 23332393711483
BaseRepresentation
bin110001110010000101…
…000110110010111000
312002222021021121212000
4301302011012302320
51333433102024403
640320051021000
73601425444636
oct616205066270
9162867247760
1053453548728
1120740153358
12a43959a760
13506b3c4298
14283127a356
1515ccb787a3
hexc72146cb8

53453548728 has 128 divisors (see below), whose sum is σ = 155116684800. Its totient is φ = 17023488768.

The previous prime is 53453548727. The next prime is 53453548741. The reversal of 53453548728 is 82784535435.

53453548728 is a `hidden beast` number, since 5 + 3 + 4 + 535 + 4 + 87 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53453548727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4649275 + ... + 4660757.

It is an arithmetic number, because the mean of its divisors is an integer number (1211849100).

Almost surely, 253453548728 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 53453548728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77558342400).

53453548728 is an abundant number, since it is smaller than the sum of its proper divisors (101663136072).

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

53453548728 is a wasteful number, since it uses less digits than its factorization.

53453548728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12458 (or 12448 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 53453548728 in words is "fifty-three billion, four hundred fifty-three million, five hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 937 1242 1656 1874 2484 2811 3748 4968 5622 7496 8433 11244 11483 16866 21551 22488 22966 25299 33732 34449 43102 45932 50598 64653 67464 68898 86204 91864 101196 103347 129306 137796 172408 193959 202392 206694 258612 264109 275592 310041 387918 413388 517224 528218 581877 620082 775836 792327 826776 1056436 1163754 1240164 1551672 1584654 2112872 2327508 2376981 2480328 3169308 4655016 4753962 6338616 7130943 9507924 10759571 14261886 19015848 21519142 28523772 32278713 43038284 57047544 64557426 86076568 96836139 129114852 193672278 247470133 258229704 290508417 387344556 494940266 581016834 742410399 774689112 989880532 1162033668 1484820798 1979761064 2227231197 2324067336 2969641596 4454462394 5939283192 6681693591 8908924788 13363387182 17817849576 26726774364 53453548728