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46014570840 = 23357397137983
BaseRepresentation
bin101010110110101011…
…101010000101011000
311101202211112101121110
4222312223222011120
51223214212231330
633045551540320
73216166253520
oct526653520530
9141684471543
1046014570840
1118573031147
128b0222a6a0
134454180514
1423272d0680
1512e4a4bdb0
hexab6aea158

46014570840 has 128 divisors (see below), whose sum is σ = 158162780160. Its totient is φ = 10491047424.

The previous prime is 46014570839. The next prime is 46014570853. The reversal of 46014570840 is 4807541064.

46014570840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 264489 + ... + 402471.

It is an arithmetic number, because the mean of its divisors is an integer number (1235646720).

Almost surely, 246014570840 is an apocalyptic number.

46014570840 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 46014570840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79081390080).

46014570840 is an abundant number, since it is smaller than the sum of its proper divisors (112148209320).

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

46014570840 is a wasteful number, since it uses less digits than its factorization.

46014570840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138401 (or 138397 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 46014570840 in words is "forty-six billion, fourteen million, five hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 397 420 794 840 1191 1588 1985 2382 2779 3176 3970 4764 5558 5955 7940 8337 9528 11116 11910 13895 15880 16674 22232 23820 27790 33348 41685 47640 55580 66696 83370 111160 137983 166740 275966 333480 413949 551932 689915 827898 965881 1103864 1379830 1655796 1931762 2069745 2759660 2897643 3311592 3863524 4139490 4829405 5519320 5795286 7727048 8278980 9658810 11590572 14488215 16557960 19317620 23181144 28976430 38635240 54779251 57952860 109558502 115905720 164337753 219117004 273896255 328675506 383454757 438234008 547792510 657351012 766909514 821688765 1095585020 1150364271 1314702024 1533819028 1643377530 1917273785 2191170040 2300728542 3067638056 3286755060 3834547570 4601457084 5751821355 6573510120 7669095140 9202914168 11503642710 15338190280 23007285420 46014570840