Search a number
-
+
11351111640 = 23351127310709
BaseRepresentation
bin10101001001001010…
…00011011111011000
31002022002010012212020
422210211003133120
5141221341033030
65114205414440
7551201566641
oct124445033730
932262105766
1011351111640
1148a5452200
12224956a420
1310bb8ac80b
1479978a6c8
154667e7510
hex2a49437d8

11351111640 has 192 divisors, whose sum is σ = 37946815200. Its totient is φ = 2713835520.

The previous prime is 11351111627. The next prime is 11351111669. The reversal of 11351111640 is 4611115311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11351111640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054606 + ... + 1065314.

Almost surely, 211351111640 is an apocalyptic number.

11351111640 is a gapful number since it is divisible by the number (10) 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 11351111640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973407600).

11351111640 is an abundant number, since it is smaller than the sum of its proper divisors (26595703560).

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

11351111640 is a wasteful number, since it uses less digits than its factorization.

11351111640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10803 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 11351111640 its reverse (4611115311), we get a palindrome (15962226951).

The spelling of 11351111640 in words is "eleven billion, three hundred fifty-one million, one hundred eleven thousand, six hundred forty".