Search a number
-
+
46743718000 = 245379734421
BaseRepresentation
bin101011100010001001…
…001000100001110000
311110122122112220110211
4223202021020201300
51231212342434000
633250200033504
73243232022140
oct534211104160
9143578486424
1046743718000
1118907679201
129086462894
13453c256645
142396094920
151338a7a7ba
hexae2248870

46743718000 has 160 divisors (see below), whose sum is σ = 130508396928. Its totient is φ = 15860736000.

The previous prime is 46743717967. The next prime is 46743718037. The reversal of 46743718000 is 81734764.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340790 + ... + 1375210.

Almost surely, 246743718000 is an apocalyptic number.

46743718000 is a gapful number since it is divisible by the number (40) 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 46743718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65254198464).

46743718000 is an abundant number, since it is smaller than the sum of its proper divisors (83764678928).

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

46743718000 is a wasteful number, since it uses less digits than its factorization.

46743718000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34548 (or 34532 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 46743718000 in words is "forty-six billion, seven hundred forty-three million, seven hundred eighteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 97 100 112 125 140 175 194 200 250 280 350 388 400 485 500 560 679 700 776 875 970 1000 1358 1400 1552 1750 1940 2000 2425 2716 2800 3395 3500 3880 4850 5432 6790 7000 7760 9700 10864 12125 13580 14000 16975 19400 24250 27160 33950 34421 38800 48500 54320 67900 68842 84875 97000 135800 137684 169750 172105 194000 240947 271600 275368 339500 344210 481894 550736 679000 688420 860525 963788 1204735 1358000 1376840 1721050 1927576 2409470 2753680 3338837 3442100 3855152 4302625 4818940 6023675 6677674 6884200 8605250 9637880 12047350 13355348 13768400 16694185 17210500 19275760 23371859 24094700 26710696 30118375 33388370 34421000 46743718 48189400 53421392 60236750 66776740 68842000 83470925 93487436 96378800 116859295 120473500 133553480 166941850 186974872 233718590 240947000 267106960 333883700 373949744 417354625 467437180 481894000 584296475 667767400 834709250 934874360 1168592950 1335534800 1669418500 1869748720 2337185900 2921482375 3338837000 4674371800 5842964750 6677674000 9348743600 11685929500 23371859000 46743718000