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1973852145 = 345191991289
BaseRepresentation
bin111010110100110…
…1001011111110001
312002120011002010000
41311221221133301
513020301232040
6523510300213
766625315656
oct16551513761
95076132100
101973852145
11923208371
12471057669
13255c20865
1414a20dc2d
15b844a130
hex75a697f1

1973852145 has 80 divisors (see below), whose sum is σ = 3746160000. Its totient is φ = 991533312.

The previous prime is 1973852137. The next prime is 1973852149. The reversal of 1973852145 is 5412583791.

1973852145 is a `hidden beast` number, since 1 + 97 + 38 + 521 + 4 + 5 = 666.

It is not a de Polignac number, because 1973852145 - 23 = 1973852137 is a prime.

It is a super-2 number, since 2×19738521452 = 7792184580642202050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1973852145.

It is not an unprimeable number, because it can be changed into a prime (1973852149) 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 79 ways as a sum of consecutive naturals, for example, 1530661 + ... + 1531949.

It is an arithmetic number, because the mean of its divisors is an integer number (46827000).

Almost surely, 21973852145 is an apocalyptic number.

1973852145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1973852145 is a deficient number, since it is larger than the sum of its proper divisors (1772307855).

1973852145 is a wasteful number, since it uses less digits than its factorization.

1973852145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1515 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1973852145 is about 44428.0558318727. The cubic root of 1973852145 is about 1254.4062407175.

The spelling of 1973852145 in words is "one billion, nine hundred seventy-three million, eight hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 199 285 405 513 597 855 995 1289 1539 1791 2565 2985 3781 3867 5373 6445 7695 8955 11343 11601 16119 18905 19335 24491 26865 34029 34803 56715 58005 73473 80595 102087 104409 122455 170145 174015 220419 256511 306261 367365 510435 522045 661257 769533 1102095 1282555 1531305 1983771 2308599 3306285 3847665 4873709 6925797 9918855 11542995 14621127 20777391 24368545 34628985 43863381 73105635 103886955 131590143 219316905 394770429 657950715 1973852145