Search a number
-
+
258720996216879 = 32729791792528363
BaseRepresentation
bin111010110100111000101101…
…000100110101000000101111
31020221001111010001202110012200
4322310320231010311000233
5232402341100012420004
62314130441310032543
7105331655320552050
oct7264705504650057
91227044101673180
10258720996216879
1175488a5a581819
1225025a421a8753
13b149392931ac1
1447c623d4dc727
151ed9dd816d239
hexeb4e2d13502f

258720996216879 has 48 divisors (see below), whose sum is σ = 447415079654400. Its totient is φ = 140935749933888.

The previous prime is 258720996216811. The next prime is 258720996216899. The reversal of 258720996216879 is 978612699027852.

258720996216879 is a `hidden beast` number, since 2 + 587 + 2 + 0 + 9 + 9 + 6 + 21 + 6 + 8 + 7 + 9 = 666.

258720996216879 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258720996216879 - 229 = 258720459345967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258720996216798 and 258720996216807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258720996216899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896119849 + ... + 896408514.

It is an arithmetic number, because the mean of its divisors is an integer number (9321147492800).

Almost surely, 2258720996216879 is an apocalyptic number.

258720996216879 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

258720996216879 is a deficient number, since it is larger than the sum of its proper divisors (188694083437521).

258720996216879 is a wasteful number, since it uses less digits than its factorization.

258720996216879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792528484 (or 1792528481 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 258720996216879 in words is "two hundred fifty-eight trillion, seven hundred twenty billion, nine hundred ninety-six million, two hundred sixteen thousand, eight hundred seventy-nine".

Divisors: 1 3 7 9 21 29 63 79 87 203 237 261 553 609 711 1659 1827 2291 4977 6873 16037 20619 48111 144333 1792528363 5377585089 12547698541 16132755267 37643095623 51983322527 112929286869 141609740677 155949967581 363883257689 424829222031 467849902743 991268184739 1091649773067 1274487666093 2973804554217 3274949319201 4106682479633 8921413662651 12320047438899 28746777357431 36960142316697 86240332072293 258720996216879