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5677801776 = 24323110711887
BaseRepresentation
bin1010100100110110…
…00110000100110000
3112122200210012210200
411102123012010300
543112004124101
62335222555200
7260462342643
oct52233060460
915580705720
105677801776
112453a75569
121125598b00
136c63c812a
143bc0dba5a
152336e1986
hex1526c6130

5677801776 has 120 divisors (see below), whose sum is σ = 16557225984. Its totient is φ = 1814279040.

The previous prime is 5677801757. The next prime is 5677801817. The reversal of 5677801776 is 6771087765.

5677801776 is a `hidden beast` number, since 567 + 7 + 8 + 0 + 1 + 7 + 76 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 471705 + ... + 483591.

Almost surely, 25677801776 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 5677801776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278612992).

5677801776 is an abundant number, since it is smaller than the sum of its proper divisors (10879424208).

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

5677801776 is a wasteful number, since it uses less digits than its factorization.

5677801776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12039 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The square root of 5677801776 is about 75351.1896123744. The cubic root of 5677801776 is about 1783.9940795583.

The spelling of 5677801776 in words is "five billion, six hundred seventy-seven million, eight hundred one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 107 124 144 186 214 248 279 321 372 428 496 558 642 744 856 963 1116 1284 1488 1712 1926 2232 2568 3317 3852 4464 5136 6634 7704 9951 11887 13268 15408 19902 23774 26536 29853 35661 39804 47548 53072 59706 71322 79608 95096 106983 119412 142644 159216 190192 213966 238824 285288 368497 427932 477648 570576 736994 855864 1105491 1271909 1473988 1711728 2210982 2543818 2947976 3316473 3815727 4421964 5087636 5895952 6632946 7631454 8843928 10175272 11447181 13265892 15262908 17687856 20350544 22894362 26531784 30525816 39429179 45788724 53063568 61051632 78858358 91577448 118287537 157716716 183154896 236575074 315433432 354862611 473150148 630866864 709725222 946300296 1419450444 1892600592 2838900888 5677801776