Search a number
-
+
11347788676 = 227410872
BaseRepresentation
bin10101001000110000…
…11000001110000100
31002021211212101121111
422210120120032010
5141220013214201
65114010254404
7551131420000
oct124430301604
932254771544
1011347788676
1148a3592654
122248427404
1310bacb8173
14799163700
1546638cb51
hex2a4618384

11347788676 has 45 divisors (see below), whose sum is σ = 23188355799. Its totient is φ = 4858863912.

The previous prime is 11347788649. The next prime is 11347788721. The reversal of 11347788676 is 67688774311.

The square root of 11347788676 is 106526.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11347788676.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10439005 + ... + 10440091.

Almost surely, 211347788676 is an apocalyptic number.

11347788676 is the 106526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11347788676

11347788676 is an abundant number, since it is smaller than the sum of its proper divisors (11840567123).

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

11347788676 is an frugal number, since it uses more digits than its factorization.

11347788676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 1096 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 58.

The spelling of 11347788676 in words is "eleven billion, three hundred forty-seven million, seven hundred eighty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1087 1372 2174 2401 4348 4802 7609 9604 15218 30436 53263 106526 213052 372841 745682 1181569 1491364 2363138 2609887 4726276 5219774 8270983 10439548 16541966 33083932 57896881 115793762 231587524 405278167 810556334 1621112668 2836947169 5673894338 11347788676