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1972463471 = 11317179487
BaseRepresentation
bin111010110010001…
…0110011101101111
312002110112112012122
41311210112131233
513014422312341
6523420423155
766610443236
oct16544263557
95073475178
101972463471
1192244a000
124706a7abb
13255855764
14149d6bb1d
15b827394b
hex7591676f

1972463471 has 32 divisors (see below), whose sum is σ = 2314759680. Its totient is φ = 1674794880.

The previous prime is 1972463461. The next prime is 1972463491. The reversal of 1972463471 is 1743642791.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1972463471 is a prime.

It is a super-3 number, since 3×19724634713 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972463411) 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 31 ways as a sum of consecutive naturals, for example, 4049990 + ... + 4050476.

It is an arithmetic number, because the mean of its divisors is an integer number (72336240).

Almost surely, 21972463471 is an apocalyptic number.

1972463471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1972463471 is a deficient number, since it is larger than the sum of its proper divisors (342296209).

1972463471 is a wasteful number, since it uses less digits than its factorization.

1972463471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 694 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 1972463471 is about 44412.4247367783. The cubic root of 1972463471 is about 1254.1119988200. Note that the first 3 decimals are identical.

The spelling of 1972463471 in words is "one billion, nine hundred seventy-two million, four hundred sixty-three thousand, four hundred seventy-one".

Divisors: 1 11 17 121 179 187 487 1331 1969 2057 3043 5357 8279 21659 22627 33473 58927 87173 91069 238249 368203 648197 958903 1001759 1481941 4050233 10547933 11019349 16301351 116027263 179314861 1972463471