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78578386040 = 23571152348781
BaseRepresentation
bin100100100101110100…
…0110000010001111000
321111211021002121021002
41021023220300101320
52241412031323130
6100033131304132
75451150155330
oct1111350602170
9244737077232
1078578386040
11303634a5510
121328b8ab048
13754375941b
143b3603c0c0
15209d7a9b45
hex124ba30478

78578386040 has 128 divisors (see below), whose sum is σ = 220853675520. Its totient is φ = 24444633600.

The previous prime is 78578386039. The next prime is 78578386097. The reversal of 78578386040 is 4068387587.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586450 + ... + 1635230.

It is an arithmetic number, because the mean of its divisors is an integer number (1725419340).

Almost surely, 278578386040 is an apocalyptic number.

78578386040 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 78578386040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110426837760).

78578386040 is an abundant number, since it is smaller than the sum of its proper divisors (142275289480).

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

78578386040 is a wasteful number, since it uses less digits than its factorization.

78578386040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49333 (or 49329 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 78578386040 in words is "seventy-eight billion, five hundred seventy-eight million, three hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 523 616 770 1046 1540 2092 2615 3080 3661 4184 5230 5753 7322 10460 11506 14644 18305 20920 23012 28765 29288 36610 40271 46024 48781 57530 73220 80542 97562 115060 146440 161084 195124 201355 230120 243905 322168 341467 390248 402710 487810 536591 682934 805420 975620 1073182 1365868 1610840 1707335 1951240 2146364 2682955 2731736 3414670 3756137 4292728 5365910 6829340 7512274 10731820 13658680 15024548 18780685 21463640 25512463 30049096 37561370 51024926 75122740 102049852 127562315 150245480 178587241 204099704 255124630 280637093 357174482 510249260 561274186 714348964 892936205 1020498520 1122548372 1403185465 1428697928 1785872410 1964459651 2245096744 2806370930 3571744820 3928919302 5612741860 7143489640 7857838604 9822298255 11225483720 15715677208 19644596510 39289193020 78578386040