Search a number
-
+
5675537664 = 28324357287
BaseRepresentation
bin1010100100100100…
…11101010100000000
3112122112112012000200
411102102131110000
543110414201124
62335102245200
7260434163016
oct52222352400
915575465020
105675537664
1124527694a5
121124886800
136c5ab4714
143bbaac8b6
152333e5bc9
hex15249d500

5675537664 has 108 divisors (see below), whose sum is σ = 16744824096. Its totient is φ = 1847817216.

The previous prime is 5675537663. The next prime is 5675537689. The reversal of 5675537664 is 4667355765.

5675537664 is a `hidden beast` number, since 567 + 5 + 5 + 3 + 76 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5675537664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5675537663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70429 + ... + 127715.

Almost surely, 25675537664 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 5675537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372412048).

5675537664 is an abundant number, since it is smaller than the sum of its proper divisors (11069286432).

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

5675537664 is a wasteful number, since it uses less digits than its factorization.

5675537664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57352 (or 57335 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The square root of 5675537664 is about 75336.1643833823. The cubic root of 5675537664 is about 1783.7569162115.

The spelling of 5675537664 in words is "five billion, six hundred seventy-five million, five hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 516 576 688 768 774 1032 1152 1376 1548 2064 2304 2752 3096 4128 5504 6192 8256 11008 12384 16512 24768 33024 49536 57287 99072 114574 171861 229148 343722 458296 515583 687444 916592 1031166 1374888 1833184 2062332 2463341 2749776 3666368 4124664 4926682 5499552 7332736 7390023 8249328 9853364 10999104 14665472 14780046 16498656 19706728 21998208 22170069 29560092 32997312 39413456 43996416 44340138 59120184 65994624 78826912 88680276 118240368 131989248 157653824 177360552 236480736 315307648 354721104 472961472 630615296 709442208 945922944 1418884416 1891845888 2837768832 5675537664