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46327471320 = 233513269911003
BaseRepresentation
bin101011001001010101…
…010001110011011000
311102120122022101101010
4223021111101303120
51224334313040240
633141010253520
73230016003024
oct531125216330
9142518271333
1046327471320
1118713716989
128b8ab872a0
1344a3c47130
142356aa1384
151312258280
hexac9551cd8

46327471320 has 128 divisors (see below), whose sum is σ = 149742432000. Its totient is φ = 11398424064.

The previous prime is 46327471301. The next prime is 46327471367. The reversal of 46327471320 is 2317472364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4204939 + ... + 4215941.

It is an arithmetic number, because the mean of its divisors is an integer number (1169862750).

Almost surely, 246327471320 is an apocalyptic number.

46327471320 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 46327471320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74871216000).

46327471320 is an abundant number, since it is smaller than the sum of its proper divisors (103414960680).

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

46327471320 is a wasteful number, since it uses less digits than its factorization.

46327471320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13729 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 46327471320 in words is "forty-six billion, three hundred twenty-seven million, four hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2699 5398 8097 10796 11003 13495 16194 21592 22006 26990 32388 33009 35087 40485 44012 53980 55015 64776 66018 70174 80970 88024 105261 107960 110030 132036 140348 143039 161940 165045 175435 210522 220060 264072 280696 286078 323880 330090 350870 421044 429117 440120 526305 572156 660180 701740 715195 842088 858234 1052610 1144312 1320360 1403480 1430390 1716468 2105220 2145585 2860780 3432936 4210440 4291170 5721560 8582340 17164680 29697097 59394194 89091291 118788388 148485485 178182582 237576776 296970970 356365164 386062261 445456455 593941940 712730328 772124522 890912910 1158186783 1187883880 1544249044 1781825820 1930311305 2316373566 3088498088 3563651640 3860622610 4632747132 5790933915 7721245220 9265494264 11581867830 15442490440 23163735660 46327471320