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46040456560 = 2457127647363
BaseRepresentation
bin101010111000001110…
…011001110101110000
311101211122020112010211
4222320032121311300
51223242324102220
633052314433504
73216632265220
oct527016316560
9141748215124
1046040456560
11185867014aa
128b0aa32894
134459644907
14232a90c080
1512e6e61b5a
hexab8399d70

46040456560 has 80 divisors (see below), whose sum is σ = 123299536896. Its totient is φ = 15660981504.

The previous prime is 46040456543. The next prime is 46040456569. The reversal of 46040456560 is 6565404064.

46040456560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46040456569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252562 + ... + 394801.

Almost surely, 246040456560 is an apocalyptic number.

46040456560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46040456560 is an abundant number, since it is smaller than the sum of its proper divisors (77259080336).

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

46040456560 is a wasteful number, since it uses less digits than its factorization.

46040456560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647510 (or 647504 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 46040456560 in words is "forty-six billion, forty million, four hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 140 254 280 508 560 635 889 1016 1270 1778 2032 2540 3556 4445 5080 7112 8890 10160 14224 17780 35560 71120 647363 1294726 2589452 3236815 4531541 5178904 6473630 9063082 10357808 12947260 18126164 22657705 25894520 36252328 45315410 51789040 72504656 82215101 90630820 164430202 181261640 328860404 362523280 411075505 575505707 657720808 822151010 1151011414 1315441616 1644302020 2302022828 2877528535 3288604040 4604045656 5755057070 6577208080 9208091312 11510114140 23020228280 46040456560