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983680742443 = 73144961716363
BaseRepresentation
bin11100101000001111111…
…00001111010000101011
310111001001101212020122111
432110013330033100223
5112104034232224233
62031521404103151
7131032345231450
oct16240774172053
93431041766574
10983680742443
1134a1a4153183
1213a788834ab7
13719b7331319
1435878d2b827
151a8c3c0aacd
hexe507f0f42b

983680742443 has 32 divisors (see below), whose sum is σ = 1165012070400. Its totient is φ = 812769914880.

The previous prime is 983680742351. The next prime is 983680742489. The reversal of 983680742443 is 344247086389.

It is not a de Polignac number, because 983680742443 - 225 = 983647188011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983680742843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60107980 + ... + 60124342.

It is an arithmetic number, because the mean of its divisors is an integer number (36406627200).

Almost surely, 2983680742443 is an apocalyptic number.

983680742443 is a deficient number, since it is larger than the sum of its proper divisors (181331327957).

983680742443 is a wasteful number, since it uses less digits than its factorization.

983680742443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17467.

The product of its (nonzero) digits is 27869184, while the sum is 58.

The spelling of 983680742443 in words is "nine hundred eighty-three billion, six hundred eighty million, seven hundred forty-two thousand, four hundred forty-three".

Divisors: 1 7 31 217 449 617 3143 4319 13919 16363 19127 97433 114541 133889 277033 507253 1939231 3550771 7346987 8588023 10095971 51428909 60116161 70671797 227756597 312975101 1594296179 2190825707 4533090979 31731636853 140525820349 983680742443