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6049132416 = 273210914813
BaseRepresentation
bin1011010001000111…
…00110111110000000
3120121120111202200100
411220203212332000
544342034214131
62440125522400
7302621530365
oct55043467600
916546452610
106049132416
112624639798
121209a13400
1375530c2c2
1441555c46c
152560e07e6
hex1688e6f80

6049132416 has 96 divisors (see below), whose sum is σ = 17426583720. Its totient is φ = 2014110720.

The previous prime is 6049132403. The next prime is 6049132469. The reversal of 6049132416 is 6142319406.

6049132416 is a `hidden beast` number, since 604 + 9 + 1 + 3 + 2 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254426 + ... + 1259238.

Almost surely, 26049132416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6049132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713291860).

6049132416 is an abundant number, since it is smaller than the sum of its proper divisors (11377451304).

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

6049132416 is a wasteful number, since it uses less digits than its factorization.

6049132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6049132416 is about 77776.1686893871. The cubic root of 6049132416 is about 1822.0670890560.

The spelling of 6049132416 in words is "six billion, forty-nine million, one hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1091 1152 2182 3273 4364 4813 6546 8728 9626 9819 13092 14439 17456 19252 19638 26184 28878 34912 38504 39276 43317 52368 57756 69824 77008 78552 86634 104736 115512 139648 154016 157104 173268 209472 231024 308032 314208 346536 418944 462048 616064 628416 693072 924096 1256832 1386144 1848192 2772288 5250983 5544576 10501966 15752949 21003932 31505898 42007864 47258847 63011796 84015728 94517694 126023592 168031456 189035388 252047184 336062912 378070776 504094368 672125824 756141552 1008188736 1512283104 2016377472 3024566208 6049132416