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46456086420 = 223251925471307
BaseRepresentation
bin101011010000111111…
…111001111110010100
311102220121022201010100
4223100333321332110
51230120224231140
633201443054100
73233140135122
oct532077717624
9142817281110
1046456086420
111877a282357
129006071330
1344c4799443
142369bc0912
15131d6b1530
hexad0ff9f94

46456086420 has 216 divisors, whose sum is σ = 149109708384. Its totient is φ = 11705855616.

The previous prime is 46456086419. The next prime is 46456086421. The reversal of 46456086420 is 2468065464.

46456086420 is a `hidden beast` number, since 4 + 6 + 4 + 560 + 8 + 64 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (46456086419) and next prime (46456086421).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46456086421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35543407 + ... + 35544713.

It is an arithmetic number, because the mean of its divisors is an integer number (690322724).

Almost surely, 246456086420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46456086420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74554854192).

46456086420 is an abundant number, since it is smaller than the sum of its proper divisors (102653621964).

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

46456086420 is a wasteful number, since it uses less digits than its factorization.

46456086420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 46456086420 in words is "forty-six billion, four hundred fifty-six million, eighty-six thousand, four hundred twenty".