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46640406640 = 245737986371
BaseRepresentation
bin101011011011111111…
…000010000001110000
311110101110011010221011
4223123333002001300
51231004421003030
633232025440304
73240535625632
oct533377020160
9143343133834
1046640406640
1118864325913
129057940094
134523a23869
142386480a52
15132e96eb2a
hexadbfc2070

46640406640 has 40 divisors (see below), whose sum is σ = 109924424208. Its totient is φ = 18400596480.

The previous prime is 46640406539. The next prime is 46640406643. The reversal of 46640406640 is 4660404664.

It is a happy number.

46640406640 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 (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 46640406593 and 46640406602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46640406643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3987346 + ... + 3999025.

Almost surely, 246640406640 is an apocalyptic number.

46640406640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46640406640 is an abundant number, since it is smaller than the sum of its proper divisors (63284017568).

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

46640406640 is a wasteful number, since it uses less digits than its factorization.

46640406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986457 (or 7986451 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 46640406640 in words is "forty-six billion, six hundred forty million, four hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7986371 15972742 31945484 39931855 63890968 79863710 127781936 159727420 319454840 583005083 638909680 1166010166 2332020332 2915025415 4664040664 5830050830 9328081328 11660101660 23320203320 46640406640