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11240674272 = 253239030119
BaseRepresentation
bin10100111011111111…
…10001001111100000
31002000101022102021100
422131333301033200
5141010103034042
65055222354400
7545361104052
oct123577611740
932011272240
1011240674272
114849081a53
12221858ba00
1310a1a53369
14788c3d8d2
1545bc8024c
hex29dff13e0

11240674272 has 36 divisors (see below), whose sum is σ = 31965668280. Its totient is φ = 3746891328.

The previous prime is 11240674243. The next prime is 11240674273. The reversal of 11240674272 is 27247604211.

11240674272 is a `hidden beast` number, since 112 + 406 + 74 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240674273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19514772 + ... + 19515347.

It is an arithmetic number, because the mean of its divisors is an integer number (887935230).

Almost surely, 211240674272 is an apocalyptic number.

11240674272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11240674272 is an abundant number, since it is smaller than the sum of its proper divisors (20724994008).

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

11240674272 is a wasteful number, since it uses less digits than its factorization.

11240674272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39030135 (or 39030124 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 11240674272 in words is "eleven billion, two hundred forty million, six hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 39030119 78060238 117090357 156120476 234180714 312240952 351271071 468361428 624481904 702542142 936722856 1248963808 1405084284 1873445712 2810168568 3746891424 5620337136 11240674272