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46215175140 = 22325256750973
BaseRepresentation
bin101011000010101000…
…111001101111100100
311102021211000010222100
4223002220321233210
51224122041101030
633121515332100
73224153335641
oct530250715744
9142254003870
1046215175140
1118666297122
128b59451030
1344868b98a4
142345bccdc8
151307475360
hexac2a39be4

46215175140 has 36 divisors (see below), whose sum is σ = 140186031804. Its totient is φ = 12324046656.

The previous prime is 46215175129. The next prime is 46215175147. The reversal of 46215175140 is 4157151264.

46215175140 is a `hidden beast` number, since 4 + 621 + 5 + 17 + 5 + 14 + 0 = 666.

46215175140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10530453924 + 35684721216 = 102618^2 + 188904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46215175095 and 46215175104.

It is not an unprimeable number, because it can be changed into a prime (46215175147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128375307 + ... + 128375666.

It is an arithmetic number, because the mean of its divisors is an integer number (3894056439).

Almost surely, 246215175140 is an apocalyptic number.

It is an amenable number.

46215175140 is an abundant number, since it is smaller than the sum of its proper divisors (93970856664).

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

46215175140 is a wasteful number, since it uses less digits than its factorization.

46215175140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256750988 (or 256750983 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 46215175140 in words is "forty-six billion, two hundred fifteen million, one hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 256750973 513501946 770252919 1027003892 1283754865 1540505838 2310758757 2567509730 3081011676 3851264595 4621517514 5135019460 7702529190 9243035028 11553793785 15405058380 23107587570 46215175140