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61842685320 = 233251313214249
BaseRepresentation
bin111001100110000111…
…000111110110001000
312220121220220220210200
4321212013013312020
52003123211412240
644224331212200
74316343103053
oct714607076610
9186556826720
1061842685320
1124255646899
12bb9aba7060
135aa7444130
142dc94bba9a
15191e3dd930
hexe661c7d88

61842685320 has 96 divisors (see below), whose sum is σ = 216449415000. Its totient is φ = 15222813696.

The previous prime is 61842685291. The next prime is 61842685381. The reversal of 61842685320 is 2358624816.

61842685320 is a `hidden beast` number, since 6 + 18 + 42 + 68 + 532 + 0 = 666.

61842685320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57280763556 + 4561921764 = 239334^2 + 67542^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6602445 + ... + 6611804.

Almost surely, 261842685320 is an apocalyptic number.

61842685320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61842685320 is an abundant number, since it is smaller than the sum of its proper divisors (154606729680).

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

61842685320 is a wasteful number, since it uses less digits than its factorization.

61842685320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13214279 (or 13214272 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 61842685320 in words is "sixty-one billion, eight hundred forty-two million, six hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 13214249 26428498 39642747 52856996 66071245 79285494 105713992 118928241 132142490 158570988 171785237 198213735 237856482 264284980 317141976 343570474 396427470 475712964 515355711 528569960 594641205 687140948 792854940 858926185 951425928 1030711422 1189282410 1374281896 1546067133 1585709880 1717852370 2061422844 2378564820 2576778555 3092134266 3435704740 4122845688 4757129640 5153557110 6184268532 6871409480 7730335665 10307114220 12368537064 15460671330 20614228440 30921342660 61842685320