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981117984196 = 227213925092
BaseRepresentation
bin11100100011011110011…
…00000101110111000100
310110210102210120122020101
432101233030011313010
5112033312200443241
62030415215213444
7130612006160200
oct16215714056704
93423383518211
10981117984196
113490a9584a59
1213a192517284
13716993ca61c
14356b4821b00
151a7c3c34e31
hexe46f305dc4

981117984196 has 81 divisors (see below), whose sum is σ = 2015708279949. Its totient is φ = 416633960736.

The previous prime is 981117984173. The next prime is 981117984227. The reversal of 981117984196 is 691489711189.

The square root of 981117984196 is 990514.

It is a perfect power (a square), and thus also a powerful number.

981117984196 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 only one way, i.e., 797831249796 + 183286734400 = 893214^2 + 428120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1927539990 + ... + 1927540498.

Almost surely, 2981117984196 is an apocalyptic number.

981117984196 is the 990514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981117984196

981117984196 is an abundant number, since it is smaller than the sum of its proper divisors (1034590295753).

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

981117984196 is an equidigital number, since it uses as much as digits as its factorization.

981117984196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 64.

Multiplying 981117984196 by its sum of digits (64), we get a square (62791550988544 = 79241122).

The spelling of 981117984196 in words is "nine hundred eighty-one billion, one hundred seventeen million, nine hundred eighty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 139 196 278 509 556 973 1018 1946 2036 3563 3892 6811 7126 13622 14252 19321 24941 27244 38642 49882 70751 77284 99764 135247 141502 259081 270494 283004 495257 518162 540988 946729 990514 1036324 1813567 1893458 1981028 3466799 3627134 3786916 6933598 7254268 9834389 12694969 13867196 19668778 25389938 36012259 39337556 50779876 68840723 72024518 137681446 144049036 252085813 275362892 481885061 504171626 963770122 1008343252 1764600691 1927540244 3529201382 5005704001 7058402764 10011408002 20022816004 35039928007 70079856014 140159712028 245279496049 490558992098 981117984196