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51323602000 = 2453112212081
BaseRepresentation
bin101111110011001000…
…000000010001010000
311220110211102010020011
4233303020000101100
51320102320231000
635324442524304
73464563263466
oct576310002120
9156424363204
1051323602000
111a847920900
129b44206694
134abc04c788
1426ac436836
151505b982ba
hexbf3200450

51323602000 has 120 divisors (see below), whose sum is σ = 136408597416. Its totient is φ = 18663040000.

The previous prime is 51323601947. The next prime is 51323602013. The reversal of 51323602000 is 20632315.

It can be written as a sum of positive squares in 4 ways, for example, as 15243359296 + 36080242704 = 123464^2 + 189948^2 .

It is a super-2 number, since 2×513236020002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 135960 + ... + 348040.

Almost surely, 251323602000 is an apocalyptic number.

51323602000 is a gapful number since it is divisible by the number (50) 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 51323602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68204298708).

51323602000 is an abundant number, since it is smaller than the sum of its proper divisors (85084995416).

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

51323602000 is a wasteful number, since it uses less digits than its factorization.

51323602000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212126 (or 212099 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 51323602000 in words is "fifty-one billion, three hundred twenty-three million, six hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 60500 121000 212081 242000 424162 848324 1060405 1696648 2120810 2332891 3393296 4241620 4665782 5302025 8483240 9331564 10604050 11664455 16966480 18663128 21208100 23328910 25661801 26510125 37326256 42416200 46657820 51323602 53020250 58322275 84832400 93315640 102647204 106040500 116644550 128309005 186631280 205294408 212081000 233289100 256618010 291611375 410588816 424162000 466578200 513236020 583222750 641545025 933156400 1026472040 1166445500 1283090050 2052944080 2332891000 2566180100 3207725125 4665782000 5132360200 6415450250 10264720400 12830900500 25661801000 51323602000