Search a number
-
+
855937678561 = 747922392
BaseRepresentation
bin11000111010010011101…
…11000111110011100001
310000211022202202020100021
430131021313013303201
5103010430021203221
61453113510553441
7115560635140000
oct14351167076341
93024282666307
10855937678561
11300001561609
12119a77968881
1362939c04664
142d5db4c0c37
15173e90ae041
hexc749dc7ce1

855937678561 has 45 divisors (see below), whose sum is σ = 1015583445681. Its totient is φ = 721343167272.

The previous prime is 855937678537. The next prime is 855937678573. The reversal of 855937678561 is 165876739558.

It is a happy number.

The square root of 855937678561 is 925169.

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

It is not a de Polignac number, because 855937678561 - 29 = 855937678049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (855937678511) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3581329080 + ... + 3581329318.

Almost surely, 2855937678561 is an apocalyptic number.

855937678561 is the 925169-th square number.

855937678561 is the 462585-th centered octagonal number.

It is an amenable number.

855937678561 is a deficient number, since it is larger than the sum of its proper divisors (159645767120).

855937678561 is an frugal number, since it uses more digits than its factorization.

855937678561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 325 counting only the distinct ones).

The product of its digits is 381024000, while the sum is 70.

The spelling of 855937678561 in words is "eight hundred fifty-five billion, nine hundred thirty-seven million, six hundred seventy-eight thousand, five hundred sixty-one".

Divisors: 1 7 49 79 239 343 553 1673 2401 3871 6241 11711 18881 27097 43687 57121 81977 132167 189679 305809 399847 573839 925169 1491599 2140663 2798929 4512559 6476183 10441193 14984641 19592503 31587913 45333281 73088351 137147521 221115391 356492161 511618457 1547807737 2495445127 3581329199 10834654159 17468115889 122276811223 855937678561