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78387827000 = 2353725743573
BaseRepresentation
bin100100100000001000…
…1110101000100111000
321111022222112012101212
41021000101311010320
52241014240431000
6100002203102252
75443344351530
oct1110021650470
9244288465355
1078387827000
11302759806aa
1213237b11988
1375131293b2
143b189d64c0
15208bbb7c35
hex1240475138

78387827000 has 128 divisors (see below), whose sum is σ = 210451962240. Its totient is φ = 26770636800.

The previous prime is 78387826973. The next prime is 78387827017. The reversal of 78387827000 is 72878387.

It is a super-2 number, since 2×783878270002 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 78387827000.

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 31 ways as a sum of consecutive naturals, for example, 1777214 + ... + 1820786.

It is an arithmetic number, because the mean of its divisors is an integer number (1644155955).

Almost surely, 278387827000 is an apocalyptic number.

78387827000 is a gapful number since it is divisible by the number (70) 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 78387827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105225981120).

78387827000 is an abundant number, since it is smaller than the sum of its proper divisors (132064135240).

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

78387827000 is a wasteful number, since it uses less digits than its factorization.

78387827000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43858 (or 43844 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 50.

The spelling of 78387827000 in words is "seventy-eight billion, three hundred eighty-seven million, eight hundred twenty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 257 280 350 500 514 700 875 1000 1028 1285 1400 1750 1799 2056 2570 3500 3598 5140 6425 7000 7196 8995 10280 12850 14392 17990 25700 32125 35980 43573 44975 51400 64250 71960 87146 89950 128500 174292 179900 217865 224875 257000 305011 348584 359800 435730 449750 610022 871460 899500 1089325 1220044 1525055 1742920 1799000 2178650 2440088 3050110 4357300 5446625 6100220 7625275 8714600 10893250 11198261 12200440 15250550 21786500 22396522 30501100 38126375 43573000 44793044 55991305 61002200 76252750 78387827 89586088 111982610 152505500 156775654 223965220 279956525 305011000 313551308 391939135 447930440 559913050 627102616 783878270 1119826100 1399782625 1567756540 1959695675 2239652200 2799565250 3135513080 3919391350 5599130500 7838782700 9798478375 11198261000 15677565400 19596956750 39193913500 78387827000