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122932859680 = 2555691350317
BaseRepresentation
bin111001001111101011…
…1101001001100100000
3102202022101212022122001
41302133113221030200
54003231303002210
6132250301453344
711611251031501
oct1623727511440
9382271768561
10122932859680
1148154437aa4
121b9a9b71254
13b7919c18b7
145d42a72ba8
1532e76d603a
hex1c9f5e9320

122932859680 has 48 divisors (see below), whose sum is σ = 290939516280. Its totient is φ = 49086687232.

The previous prime is 122932859563. The next prime is 122932859681. The reversal of 122932859680 is 86958239221.

It can be written as a sum of positive squares in 4 ways, for example, as 56783077264 + 66149782416 = 238292^2 + 257196^2 .

It is a super-2 number, since 2×1229328596802 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (122932859681) 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 7 ways as a sum of consecutive naturals, for example, 584119 + ... + 766198.

Almost surely, 2122932859680 is an apocalyptic number.

122932859680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122932859680 is an abundant number, since it is smaller than the sum of its proper divisors (168006656600).

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

122932859680 is a wasteful number, since it uses less digits than its factorization.

122932859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350901 (or 1350893 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 122932859680 in words is "one hundred twenty-two billion, nine hundred thirty-two million, eight hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 569 1138 2276 2845 4552 5690 9104 11380 18208 22760 45520 91040 1350317 2700634 5401268 6751585 10802536 13503170 21605072 27006340 43210144 54012680 108025360 216050720 768330373 1536660746 3073321492 3841651865 6146642984 7683303730 12293285968 15366607460 24586571936 30733214920 61466429840 122932859680