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644023138500 = 223253720445179
BaseRepresentation
bin10010101111100101100…
…01010011100011000100
32021120100002011012111100
421113302301103203010
541022424410413000
61211505442540100
764346331232410
oct11276261234304
92246302135440
10644023138500
112291462aa095
12a4996067630
13489673732a1
1423256ca9d40
1511b44b4aa00
hex95f2c538c4

644023138500 has 144 divisors (see below), whose sum is σ = 2321918202240. Its totient is φ = 147205281600.

The previous prime is 644023138489. The next prime is 644023138501. The reversal of 644023138500 is 5831320446.

644023138500 is a `hidden beast` number, since 6 + 4 + 40 + 231 + 385 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (644023138501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10191090 + ... + 10254089.

It is an arithmetic number, because the mean of its divisors is an integer number (16124431960).

Almost surely, 2644023138500 is an apocalyptic number.

644023138500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

644023138500 is an abundant number, since it is smaller than the sum of its proper divisors (1677895063740).

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

644023138500 is a wasteful number, since it uses less digits than its factorization.

644023138500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20445211 (or 20445196 counting only the distinct ones).

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

Adding to 644023138500 its reverse (5831320446), we get a palindrome (649854458946).

The spelling of 644023138500 in words is "six hundred forty-four billion, twenty-three million, one hundred thirty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 7875 10500 15750 31500 20445179 40890358 61335537 81780716 102225895 122671074 143116253 184006611 204451790 245342148 286232506 306677685 368013222 408903580 429348759 511129475 572465012 613355370 715581265 736026444 858697518 920033055 1022258950 1226710740 1288046277 1431162530 1533388425 1717395036 1840066110 2044517900 2146743795 2555647375 2576092554 2862325060 3066776850 3577906325 3680132220 4293487590 4600165275 5111294750 5152185108 6133553700 6440231385 7155812650 7666942125 8586975180 9200330550 10222589500 10733718975 12880462770 14311625300 15333884250 17889531625 18400661100 21467437950 23000826375 25760925540 30667768500 32201156925 35779063250 42934875900 46001652750 53668594875 64402313850 71558126500 92003305500 107337189750 128804627700 161005784625 214674379500 322011569250 644023138500