Search a number
-
+
1530549644960 = 25572211192479
BaseRepresentation
bin10110010001011011110…
…111100010111010100000
312102022121122011220020102
4112101123313202322200
5200034031202114320
63131042542401532
7215402306216600
oct26213367427240
95368548156212
101530549644960
11540114411856
12208769b902a8
13b143a6263bb
1454116ab0c00
1529c2e396175
hex1645bde2ea0

1530549644960 has 144 divisors (see below), whose sum is σ = 4208316456960. Its totient is φ = 524505623040.

The previous prime is 1530549644947. The next prime is 1530549644993. The reversal of 1530549644960 is 694469450351.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 1530549644896 and 1530549644905.

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, 16504001 + ... + 16596479.

It is an arithmetic number, because the mean of its divisors is an integer number (29224419840).

Almost surely, 21530549644960 is an apocalyptic number.

1530549644960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530549644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104158228480).

1530549644960 is an abundant number, since it is smaller than the sum of its proper divisors (2677766812000).

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

1530549644960 is a wasteful number, since it uses less digits than its factorization.

1530549644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94619 (or 94604 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 56.

The spelling of 1530549644960 in words is "one trillion, five hundred thirty billion, five hundred forty-nine million, six hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 2111 3920 4222 7840 8444 10555 14777 16888 21110 29554 33776 42220 59108 67552 73885 84440 92479 103439 118216 147770 168880 184958 206878 236432 295540 337760 369916 413756 462395 472864 517195 591080 647353 739832 827512 924790 1034390 1182160 1294706 1479664 1655024 1849580 2068780 2364320 2589412 2959328 3236765 3310048 3699160 4137560 4531471 5178824 6473530 7398320 8275120 9062942 10357648 12947060 14796640 16550240 18125884 20715296 22657355 25894120 36251768 45314710 51788240 72503536 90629420 103576480 145007072 181258840 195223169 362517680 390446338 725035360 780892676 976115845 1366562183 1561785352 1952231690 2733124366 3123570704 3904463380 5466248732 6247141408 6832810915 7808926760 9565935281 10932497464 13665621830 15617853520 19131870562 21864994928 27331243660 31235707040 38263741124 43729989856 47829676405 54662487320 76527482248 95659352810 109324974640 153054964496 191318705620 218649949280 306109928992 382637411240 765274822480 1530549644960