Search a number
-
+
11414553696 = 253671319283
BaseRepresentation
bin10101010000101110…
…00100010001100000
31002110111111102000000
422220113010101200
5141334111204241
65124353300000
7552602051130
oct125027042140
932414442000
1011414553696
114928244157
122266864600
1310cba933b0
147a3d82ac0
1546c179eb6
hex2a85c4460

11414553696 has 672 divisors, whose sum is σ = 43805341440. Its totient is φ = 2841910272.

The previous prime is 11414553611. The next prime is 11414553727. The reversal of 11414553696 is 69635541411.

11414553696 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 553 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40333971 + ... + 40334253.

It is an arithmetic number, because the mean of its divisors is an integer number (65186520).

Almost surely, 211414553696 is an apocalyptic number.

11414553696 is a gapful number since it is divisible by the number (16) 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 11414553696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902670720).

11414553696 is an abundant number, since it is smaller than the sum of its proper divisors (32390787744).

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

11414553696 is a wasteful number, since it uses less digits than its factorization.

11414553696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 11414553696 in words is "eleven billion, four hundred fourteen million, five hundred fifty-three thousand, six hundred ninety-six".