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46314241056 = 2532315187527
BaseRepresentation
bin101011001000100010…
…110011110000100000
311102112201102012212100
4223020202303300200
51224322421203211
633135414530400
73226465360566
oct531042636040
9142481365770
1046314241056
11187071aa886
128b86666a00
1344a1294185
142355019a36
151310ee3156
hexac88b3c20

46314241056 has 72 divisors (see below), whose sum is σ = 135954733824. Its totient is φ = 14940074880.

The previous prime is 46314240923. The next prime is 46314241063. The reversal of 46314241056 is 65014241364.

46314241056 is a `hidden beast` number, since 4 + 631 + 4 + 2 + 4 + 10 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×463142410563 (a number of 33 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46314241056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584836 + ... + 2602691.

It is an arithmetic number, because the mean of its divisors is an integer number (1888260192).

Almost surely, 246314241056 is an apocalyptic number.

It is an amenable number.

46314241056 is an abundant number, since it is smaller than the sum of its proper divisors (89640492768).

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

46314241056 is a wasteful number, since it uses less digits than its factorization.

46314241056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187574 (or 5187563 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 46314241056 in words is "forty-six billion, three hundred fourteen million, two hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 5187527 10375054 15562581 20750108 31125162 41500216 46687743 62250324 83000432 93375486 124500648 160813337 166000864 186750972 249001296 321626674 373501944 482440011 498002592 643253348 747003888 964880022 1286506696 1447320033 1494007776 1929760044 2573013392 2894640066 3859520088 5146026784 5789280132 7719040176 11578560264 15438080352 23157120528 46314241056