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981221180192 = 25112159192
BaseRepresentation
bin11100100011101010101…
…01110000001100100000
310110210200222202112112022
432101311111300030200
5112034020110231232
62030433343121012
7130614401263151
oct16216525601440
93423628675468
10981221180192
11349151859700
1213a200ba3168
13716b48bca46
14356c4405928
151a7ccd1b812
hexe475570320

981221180192 has 54 divisors (see below), whose sum is σ = 2123494000299. Its totient is φ = 445981609920.

The previous prime is 981221180153. The next prime is 981221180231. The reversal of 981221180192 is 291081122189.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (981221180153) and next prime (981221180231).

It can be written as a sum of positive squares in only one way, i.e., 490610590096 + 490610590096 = 700436^2 + 700436^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=700436.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61630409 + ... + 61646327.

Almost surely, 2981221180192 is an apocalyptic number.

It is an amenable number.

981221180192 is an abundant number, since it is smaller than the sum of its proper divisors (1142272820107).

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

981221180192 is an frugal number, since it uses more digits than its factorization.

981221180192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31870 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 44.

The spelling of 981221180192 in words is "nine hundred eighty-one billion, two hundred twenty-one million, one hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 15919 31838 63676 127352 175109 254704 350218 509408 700436 1400872 1926199 2801744 3852398 5603488 7704796 15409592 30819184 61638368 253414561 506829122 1013658244 2027316488 2787560171 4054632976 5575120342 8109265952 11150240684 22300481368 30663161881 44600962736 61326323762 89201925472 122652647524 245305295048 490610590096 981221180192