Search a number
-
+
5153081466480 = 2435239613114653
BaseRepresentation
bin100101011111100101110…
…0101110001111001110000
3200020122000002220100121220
41022333023211301321300
51133412002323411410
614543143135345040
71041204106520523
oct112771345617160
920218002810556
105153081466480
111707456169022
126b2850682180
132b4c19b7c96c
1413b5a64a8bba
158e09bad8070
hex4afcb971e70

5153081466480 has 160 divisors (see below), whose sum is σ = 16045103047680. Its totient is φ = 1368088888320.

The previous prime is 5153081466461. The next prime is 5153081466487. The reversal of 5153081466480 is 846641803515.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153081466487) 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, 351666834 + ... + 351681486.

It is an arithmetic number, because the mean of its divisors is an integer number (100281894048).

Almost surely, 25153081466480 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 5153081466480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022551523840).

5153081466480 is an abundant number, since it is smaller than the sum of its proper divisors (10892021581200).

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

5153081466480 is a wasteful number, since it uses less digits than its factorization.

5153081466480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21039 (or 21033 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 5153081466480 in words is "five trillion, one hundred fifty-three billion, eighty-one million, four hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 6131 7170 9560 11472 12262 14340 14653 18393 19120 24524 28680 29306 30655 36786 43959 49048 57360 58612 61310 73265 73572 87918 91965 98096 117224 122620 146530 147144 175836 183930 219795 234448 245240 293060 294288 351672 367860 439590 490480 586120 703344 735720 879180 1172240 1465309 1471440 1758360 2930618 3502067 3516720 4395927 5861236 7004134 7326545 8791854 10506201 11722472 14008268 14653090 17510335 17583708 21012402 21979635 23444944 28016536 29306180 35020670 35167416 42024804 43959270 52531005 56033072 58612360 70041340 70334832 84049608 87918540 89837543 105062010 117224720 140082680 168099216 175837080 179675086 210124020 269512629 280165360 351674160 359350172 420248040 449187715 539025258 718700344 840496080 898375430 1078050516 1347563145 1437400688 1796750860 2156101032 2695126290 3593501720 4312202064 5390252580 7187003440 10780505160 21471172777 21561010320 42942345554 64413518331 85884691108 107355863885 128827036662 171769382216 214711727770 257654073324 322067591655 343538764432 429423455540 515308146648 644135183310 858846911080 1030616293296 1288270366620 1717693822160 2576540733240 5153081466480