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6132040416 = 25337097269
BaseRepresentation
bin1011011010111111…
…11000001011100000
3120211100111221002000
411231133320023200
5100024300243131
62452250524000
7304646324565
oct55537701340
916740457060
106132040416
1126674167a7
121231736600
1376954a1a8
1442258086c
1525d51ace6
hex16d7f82e0

6132040416 has 48 divisors (see below), whose sum is σ = 17885120400. Its totient is φ = 2044013184.

The previous prime is 6132040399. The next prime is 6132040469. The reversal of 6132040416 is 6140402316.

6132040416 is a `hidden beast` number, since 613 + 2 + 0 + 4 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6132040416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3547771 + ... + 3549498.

It is an arithmetic number, because the mean of its divisors is an integer number (372606675).

Almost surely, 26132040416 is an apocalyptic number.

It is an amenable number.

6132040416 is an abundant number, since it is smaller than the sum of its proper divisors (11753079984).

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

6132040416 is a wasteful number, since it uses less digits than its factorization.

6132040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7097288 (or 7097274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6132040416 is about 78307.3458623136. The cubic root of 6132040416 is about 1830.3536215316.

The spelling of 6132040416 in words is "six billion, one hundred thirty-two million, forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 7097269 14194538 21291807 28389076 42583614 56778152 63875421 85167228 113556304 127750842 170334456 191626263 227112608 255501684 340668912 383252526 511003368 681337824 766505052 1022006736 1533010104 2044013472 3066020208 6132040416