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46879220000 = 255415312
BaseRepresentation
bin101011101010001110…
…000010000100100000
311111000002112010021102
4223222032002010200
51232002040020000
633311440213532
73246465536534
oct535216020440
9144002463242
1046879220000
1118977108928
12910390a2a8
13456134a542
1423aa087bc4
1513458e43d5
hexaea382120

46879220000 has 90 divisors (see below), whose sum is σ = 115405292079. Its totient is φ = 18739440000.

The previous prime is 46879219999. The next prime is 46879220027. The reversal of 46879220000 is 2297864.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 10838475664 + 36040744336 = 104108^2 + 189844^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=153100.

It is a super-2 number, since 2×468792200002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 30619235 + ... + 30620765.

Almost surely, 246879220000 is an apocalyptic number.

46879220000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46879220000

46879220000 is an abundant number, since it is smaller than the sum of its proper divisors (68526072079).

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

46879220000 is an frugal number, since it uses more digits than its factorization.

46879220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 46879220000 in words is "forty-six billion, eight hundred seventy-nine million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1531 2000 2500 3062 4000 5000 6124 7655 10000 12248 15310 20000 24496 30620 38275 48992 61240 76550 122480 153100 191375 244960 306200 382750 612400 765500 956875 1224800 1531000 1913750 2343961 3062000 3827500 4687922 6124000 7655000 9375844 11719805 15310000 18751688 23439610 30620000 37503376 46879220 58599025 75006752 93758440 117198050 187516880 234396100 292995125 375033760 468792200 585990250 937584400 1171980500 1464975625 1875168800 2343961000 2929951250 4687922000 5859902500 9375844000 11719805000 23439610000 46879220000