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19973320929 = 344123832
BaseRepresentation
bin10010100110100000…
…001011000011100001
31220112222022211110000
4102212200023003201
5311401132232204
613101533330213
71304646266232
oct224640130341
956488284400
1019973320929
11851a467701
123a55036969
131b63cc63c3
14d7693d089
157bd74b039
hex4a680b0e1

19973320929 has 45 divisors (see below), whose sum is σ = 30662220259. Its totient is φ = 12956859360.

The previous prime is 19973320901. The next prime is 19973320931. The reversal of 19973320929 is 92902337991.

The square root of 19973320929 is 141327.

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

It can be written as a sum of positive squares in only one way, i.e., 962426529 + 19010894400 = 31023^2 + 137880^2 .

It is not a de Polignac number, because 19973320929 - 215 = 19973288161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19973320949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52149472 + ... + 52149854.

Almost surely, 219973320929 is an apocalyptic number.

19973320929 is the 141327-th square number.

19973320929 is the 70664-th centered octagonal number.

It is an amenable number.

19973320929 is a deficient number, since it is larger than the sum of its proper divisors (10688899330).

19973320929 is an frugal number, since it uses more digits than its factorization.

19973320929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 19973320929 in words is "nineteen billion, nine hundred seventy-three million, three hundred twenty thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 41 81 123 369 383 1107 1149 1681 3321 3447 5043 10341 15129 15703 31023 45387 47109 136161 141327 146689 423981 440067 643823 1271943 1320201 1931469 3960603 5794407 6014249 11881809 17383221 18042747 52149663 54128241 162384723 246584209 487154169 739752627 2219257881 6657773643 19973320929