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5661086976 = 28331276449
BaseRepresentation
bin1010100010110110…
…10101010100000000
3112121112100000102000
411101123111110000
543043214240401
62333424424000
7260200305516
oct52133252400
915545300360
105661086976
112445599486
12111ba78000
136c2ac510c
143b9bca4b6
15231ede186
hex1516d5500

5661086976 has 144 divisors (see below), whose sum is σ = 16875264000. Its totient is φ = 1871880192.

The previous prime is 5661086971. The next prime is 5661087017. The reversal of 5661086976 is 6796801665.

5661086976 is a `hidden beast` number, since 566 + 1 + 0 + 8 + 6 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5661086971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874600 + ... + 881048.

Almost surely, 25661086976 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 5661086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437632000).

5661086976 is an abundant number, since it is smaller than the sum of its proper divisors (11214177024).

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

5661086976 is a wasteful number, since it uses less digits than its factorization.

5661086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5661086976 is about 75240.1952150578. The cubic root of 5661086976 is about 1782.2417339197.

The spelling of 5661086976 in words is "five billion, six hundred sixty-one million, eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 576 762 768 864 1016 1143 1152 1524 1728 2032 2286 2304 3048 3429 3456 4064 4572 6096 6449 6858 6912 8128 9144 12192 12898 13716 16256 18288 19347 24384 25796 27432 32512 36576 38694 48768 51592 54864 58041 73152 77388 97536 103184 109728 116082 146304 154776 174123 206368 219456 232164 292608 309552 348246 412736 438912 464328 619104 696492 819023 825472 877824 928656 1238208 1392984 1638046 1650944 1857312 2457069 2476416 2785968 3276092 3714624 4914138 4952832 5571936 6552184 7371207 7429248 9828276 11143872 13104368 14742414 14858496 19656552 22113621 22287744 26208736 29484828 39313104 44227242 44575488 52417472 58969656 78626208 88454484 104834944 117939312 157252416 176908968 209669888 235878624 314504832 353817936 471757248 629009664 707635872 943514496 1415271744 1887028992 2830543488 5661086976