Search a number
-
+
5303505542544 = 24321110933063287
BaseRepresentation
bin100110100101101000110…
…0100000101110110010000
3200210000021102100011111100
41031023101210011312100
51143343034404330134
615140221413344400
71055110545210246
oct115132144056620
920700242304440
105303505542544
111765227686860
12717a31338100
132c61702501b1
141449962ca796
1592e52a34999
hex4d2d1905d90

5303505542544 has 120 divisors (see below), whose sum is σ = 16206582480192. Its totient is φ = 1605651989760.

The previous prime is 5303505542527. The next prime is 5303505542591. The reversal of 5303505542544 is 4452455053035.

5303505542544 is a `hidden beast` number, since 5 + 3 + 0 + 3 + 50 + 5 + 54 + 2 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5303505542544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199669 + ... + 3262955.

Almost surely, 25303505542544 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 5303505542544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103291240096).

5303505542544 is an abundant number, since it is smaller than the sum of its proper divisors (10903076937648).

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

5303505542544 is a wasteful number, since it uses less digits than its factorization.

5303505542544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064405 (or 3064396 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 45.

The spelling of 5303505542544 in words is "five trillion, three hundred three billion, five hundred five million, five hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1093 1584 2186 3279 4372 6558 8744 9837 12023 13116 17488 19674 24046 26232 36069 39348 48092 52464 72138 78696 96184 108207 144276 157392 192368 216414 288552 432828 577104 865656 1731312 3063287 6126574 9189861 12253148 18379722 24506296 27569583 33696157 36759444 49012592 55139166 67392314 73518888 101088471 110278332 134784628 147037776 202176942 220556664 269569256 303265413 404353884 441113328 539138512 606530826 808707768 1213061652 1617415536 2426123304 3348172691 4852246608 6696345382 10044518073 13392690764 20089036146 26785381528 30133554219 36829899601 40178072292 53570763056 60267108438 73659799202 80356144584 110489698803 120534216876 147319598404 160712289168 220979397606 241068433752 294639196808 331469096409 441958795212 482136867504 589278393616 662938192818 883917590424 1325876385636 1767835180848 2651752771272 5303505542544