Search a number
-
+
2042467671000 = 233531361500237
BaseRepresentation
bin11101101110001100100…
…011110101101111011000
321020020222002021001200210
4131232030203311233120
5231430433210433000
64202144030331120
7300364152515661
oct35561443655730
97206862231623
102042467671000
11718229831649
1228ba16359aa0
1311a7b0936c93
1470bdaa94368
15381e1456350
hex1db8c8f5bd8

2042467671000 has 128 divisors (see below), whose sum is σ = 6377194100160. Its totient is φ = 544256768000.

The previous prime is 2042467670963. The next prime is 2042467671031. The reversal of 2042467671000 is 1767642402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042467671000.

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, 3832882 + ... + 4333118.

Almost surely, 22042467671000 is an apocalyptic number.

2042467671000 is a gapful number since it is divisible by the number (20) 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 2042467671000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188597050080).

2042467671000 is an abundant number, since it is smaller than the sum of its proper divisors (4334726429160).

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

2042467671000 is a wasteful number, since it uses less digits than its factorization.

2042467671000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501622 (or 501608 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 2042467671000 in words is "two trillion, forty-two billion, four hundred sixty-seven million, six hundred seventy-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1361 1500 2722 3000 4083 5444 6805 8166 10888 13610 16332 20415 27220 32664 34025 40830 54440 68050 81660 102075 136100 163320 170125 204150 272200 340250 408300 500237 510375 680500 816600 1000474 1020750 1361000 1500711 2000948 2041500 2501185 3001422 4001896 4083000 5002370 6002844 7503555 10004740 12005688 12505925 15007110 20009480 25011850 30014220 37517775 50023700 60028440 62529625 75035550 100047400 125059250 150071100 187588875 250118500 300142200 375177750 500237000 680822557 750355500 1361645114 1500711000 2042467671 2723290228 3404112785 4084935342 5446580456 6808225570 8169870684 10212338355 13616451140 16339741368 17020563925 20424676710 27232902280 34041127850 40849353420 51061691775 68082255700 81698706840 85102819625 102123383550 136164511400 170205639250 204246767100 255308458875 340411278500 408493534200 510616917750 680822557000 1021233835500 2042467671000