Search a number
-
+
11324137721880 = 2335196068981839
BaseRepresentation
bin1010010011001001101100…
…1101001101000000011000
31111002120120121222000122210
42210302123031031000120
52441013313224100010
640030123111515120
72246066455310664
oct244623315150030
944076517860583
1011324137721880
1136765a3584995
12132a83a988aa0
13641b27c3c419
142b213c3238a4
15149877eb0b20
hexa4c9b34d018

11324137721880 has 128 divisors (see below), whose sum is σ = 35761461120000. Its totient is φ = 2860752697344.

The previous prime is 11324137721863. The next prime is 11324137721887. The reversal of 11324137721880 is 8812773142311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324137721887) 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, 138330001 + ... + 138411839.

It is an arithmetic number, because the mean of its divisors is an integer number (279386415000).

Almost surely, 211324137721880 is an apocalyptic number.

11324137721880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11324137721880 is an abundant number, since it is smaller than the sum of its proper divisors (24437323398120).

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

11324137721880 is a wasteful number, since it uses less digits than its factorization.

11324137721880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142561 (or 142557 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 11324137721880 in words is "eleven trillion, three hundred twenty-four billion, one hundred thirty-seven million, seven hundred twenty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 60689 81839 121378 163678 182067 242756 245517 303445 327356 364134 409195 485512 491034 606890 654712 728268 818390 910335 982068 1153091 1213780 1227585 1456536 1554941 1636780 1820670 1964136 2306182 2427560 2455170 3109882 3273560 3459273 3641340 4612364 4664823 4910340 5765455 6219764 6918546 7282680 7774705 9224728 9329646 9820680 11530910 12439528 13837092 15549410 17296365 18659292 23061820 23324115 27674184 31098820 34592730 37318584 46123640 46648230 62197640 69185460 93296460 138370920 186592920 4966727071 9933454142 14900181213 19866908284 24833635355 29800362426 39733816568 49667270710 59600724852 74500906065 94367814349 99334541420 119201449704 149001812130 188735628698 198669082840 283103443047 298003624260 377471257396 471839071745 566206886094 596007248520 754942514792 943678143490 1132413772188 1415517215235 1887356286980 2264827544376 2831034430470 3774712573960 5662068860940 11324137721880