Search a number
-
+
1326552523120 = 2451117463191519
BaseRepresentation
bin10011010011011100101…
…100010010000101110000
311200211001201121101101101
4103103130230102011300
5133213234421214440
62453224304214144
7164561131254256
oct23233454220560
94624051541341
101326552523120
11471651352880
1219511790a354
139812a182896
14482c3bc85d6
152479006969a
hex134dcb12170

1326552523120 has 160 divisors (see below), whose sum is σ = 3570251489280. Its totient is φ = 453024337920.

The previous prime is 1326552523091. The next prime is 1326552523159. The reversal of 1326552523120 is 213252556231.

It is a self number, because there is not a number n which added to its sum of digits gives 1326552523120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6830721 + ... + 7022239.

It is an arithmetic number, because the mean of its divisors is an integer number (22314071808).

Almost surely, 21326552523120 is an apocalyptic number.

1326552523120 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 1326552523120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785125744640).

1326552523120 is an abundant number, since it is smaller than the sum of its proper divisors (2243698966160).

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

1326552523120 is a wasteful number, since it uses less digits than its factorization.

1326552523120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192023 (or 192017 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 1326552523120 in words is "one trillion, three hundred twenty-six billion, five hundred fifty-two million, five hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 463 680 748 880 926 935 1360 1496 1852 1870 2315 2992 3704 3740 4630 5093 7408 7480 7871 9260 10186 14960 15742 18520 20372 25465 31484 37040 39355 40744 50930 62968 78710 81488 86581 101860 125936 157420 173162 191519 203720 314840 346324 383038 407440 432905 629680 692648 766076 865810 957595 1385296 1532152 1731620 1915190 2106709 3064304 3255823 3463240 3830380 4213418 6511646 6926480 7660760 8426836 10533545 13023292 15321520 16279115 16853672 21067090 26046584 32558230 33707344 35814053 42134180 52093168 65116460 71628106 84268360 88673297 130232920 143256212 168536720 177346594 179070265 260465840 286512424 354693188 358140530 443366485 573024848 709386376 716281060 886732970 975406267 1418772752 1432562120 1507446049 1773465940 1950812534 2865124240 3014892098 3546931880 3901625068 4877031335 6029784196 7093863760 7537230245 7803250136 9754062670 12059568392 15074460490 15606500272 16581906539 19508125340 24119136784 30148920980 33163813078 39016250680 60297841960 66327626156 78032501360 82909532695 120595683920 132655252312 165819065390 265310504624 331638130780 663276261560 1326552523120