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1973138553 = 32375925341
BaseRepresentation
bin111010110011011…
…1011010001111001
312002111210211020200
41311212323101321
513020110413203
6523443112413
766616254351
oct16546732171
95074724220
101973138553
11922870221
12470972709
13255a30b09
1414a0a5b61
15b83589a3
hex759bb479

1973138553 has 12 divisors (see below), whose sum is σ = 2927118948. Its totient is φ = 1279873440.

The previous prime is 1973138533. The next prime is 1973138597. The reversal of 1973138553 is 3558313791.

1973138553 is a `hidden beast` number, since 1 + 97 + 3 + 1 + 3 + 8 + 553 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 721889424 + 1251249129 = 26868^2 + 35373^2 .

It is not a de Polignac number, because 1973138553 - 25 = 1973138521 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1973138499 and 1973138508.

It is not an unprimeable number, because it can be changed into a prime (1973138533) 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 11 ways as a sum of consecutive naturals, for example, 2962338 + ... + 2963003.

It is an arithmetic number, because the mean of its divisors is an integer number (243926579).

Almost surely, 21973138553 is an apocalyptic number.

It is an amenable number.

1973138553 is a deficient number, since it is larger than the sum of its proper divisors (953980395).

1973138553 is a wasteful number, since it uses less digits than its factorization.

1973138553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925384 (or 5925381 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 1973138553 is about 44420.0242345724. The cubic root of 1973138553 is about 1254.2550571292.

The spelling of 1973138553 in words is "one billion, nine hundred seventy-three million, one hundred thirty-eight thousand, five hundred fifty-three".

Divisors: 1 3 9 37 111 333 5925341 17776023 53328069 219237617 657712851 1973138553