Search a number
-
+
540757065154000 = 24531918637763559
BaseRepresentation
bin111101011110100001101000…
…0110001110011110111010000
32121220122212111122011020101011
41322331003100301303313100
51031334230432134412000
65154032211035420304
7221621260115611342
oct17275032061636720
92556585448136334
10540757065154000
11147335868854332
1250796412bb4694
131a297231b03ba6
149776ad2a07292
15427b4eb4512ba
hex1ebd0d0c73dd0

540757065154000 has 160 divisors (see below), whose sum is σ = 1376444689401600. Its totient is φ = 204907203187200.

The previous prime is 540757065153997. The next prime is 540757065154027. The reversal of 540757065154000 is 451560757045.

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, 707824221 + ... + 708587779.

It is an arithmetic number, because the mean of its divisors is an integer number (8602779308760).

Almost surely, 2540757065154000 is an apocalyptic number.

540757065154000 is a gapful number since it is divisible by the number (50) 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 540757065154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688222344700800).

540757065154000 is an abundant number, since it is smaller than the sum of its proper divisors (835687624247600).

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

540757065154000 is a wasteful number, since it uses less digits than its factorization.

540757065154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782238 (or 782222 counting only the distinct ones).

The product of its (nonzero) digits is 2940000, while the sum is 49.

The spelling of 540757065154000 in words is "five hundred forty trillion, seven hundred fifty-seven billion, sixty-five million, one hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 18637 19000 37274 38000 74548 93185 149096 186370 298192 354103 372740 465925 708206 745480 763559 931850 1416412 1490960 1527118 1770515 1863700 2329625 2832824 3054236 3541030 3727400 3817795 4659250 5665648 6108472 7082060 7454800 7635590 8852575 9318500 12216944 14164120 14507621 15271180 17705150 18637000 19088975 28328240 29015242 30542360 35410300 37274000 38177950 44262875 58030484 61084720 70820600 72538105 76355900 88525750 95444875 116060968 141641200 145076210 152711800 177051500 190889750 232121936 290152420 305423600 354103000 362690525 381779500 580304840 708206000 725381050 763559000 1160609680 1450762100 1527118000 1813452625 2901524200 3626905250 5803048400 7253810500 14230449083 14507621000 28460898166 29015242000 56921796332 71152245415 113843592664 142304490830 227687185328 270378532577 284608981660 355761227075 540757065154 569217963320 711522454150 1081514130308 1138435926640 1351892662885 1423044908300 1778806135375 2163028260616 2703785325770 2846089816600 3557612270750 4326056521232 5407570651540 5692179633200 6759463314425 7115224541500 10815141303080 13518926628850 14230449083000 21630282606160 27037853257700 28460898166000 33797316572125 54075706515400 67594633144250 108151413030800 135189266288500 270378532577000 540757065154000