Search a number
-
+
286911980460 = 223257237387211
BaseRepresentation
bin1000010110011010100…
…10010110001110101100
31000102120101111202011200
410023031102112032230
514200043431333320
6335445555245500
726504642411100
oct4131522261654
91012511452150
10286911980460
11100751373526
12477322a9890
132109544c551
14dc5ac23900
1576e3672290
hex42cd4963ac

286911980460 has 216 divisors, whose sum is σ = 1015115237136. Its totient is φ = 65403313920.

The previous prime is 286911980419. The next prime is 286911980473. The reversal of 286911980460 is 64089119682.

286911980460 is a `hidden beast` number, since 2 + 8 + 6 + 91 + 1 + 98 + 0 + 460 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 286911980397 and 286911980406.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3246255 + ... + 3333465.

Almost surely, 2286911980460 is an apocalyptic number.

286911980460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286911980460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507557618568).

286911980460 is an abundant number, since it is smaller than the sum of its proper divisors (728203256676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286911980460 is a wasteful number, since it uses less digits than its factorization.

286911980460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87613 (or 87601 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 286911980460 in words is "two hundred eighty-six billion, nine hundred eleven million, nine hundred eighty thousand, four hundred sixty".