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5291367984 = 243374873593
BaseRepresentation
bin1001110110110001…
…11101111000110000
3111122202122100022000
410323120331320300
541314042233414
62233020214000
7245060612550
oct47330757060
914582570260
105291367984
1122759260a1
12103809a300
13664326696
14382a69160
1520e80cb09
hex13b63de30

5291367984 has 160 divisors (see below), whose sum is σ = 17398410240. Its totient is φ = 1508295168.

The previous prime is 5291367979. The next prime is 5291368003. The reversal of 5291367984 is 4897631925.

5291367984 is a `hidden beast` number, since 529 + 1 + 36 + 7 + 9 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5291367984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470892 + ... + 1474484.

It is an arithmetic number, because the mean of its divisors is an integer number (108740064).

Almost surely, 25291367984 is an apocalyptic number.

5291367984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5291367984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8699205120).

5291367984 is an abundant number, since it is smaller than the sum of its proper divisors (12107042256).

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

5291367984 is a wasteful number, since it uses less digits than its factorization.

5291367984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4092 counting only the distinct ones).

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

The square root of 5291367984 is about 72741.7898047608. The cubic root of 5291367984 is about 1742.5663438090.

The spelling of 5291367984 in words is "five billion, two hundred ninety-one million, three hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 487 504 756 974 1008 1461 1512 1948 2922 3024 3409 3593 3896 4383 5844 6818 7186 7792 8766 10227 10779 11688 13149 13636 14372 17532 20454 21558 23376 25151 26298 27272 28744 30681 32337 35064 40908 43116 50302 52596 54544 57488 61362 64674 70128 75453 81816 86232 92043 97011 100604 105192 122724 129348 150906 163632 172464 184086 194022 201208 210384 226359 245448 258696 301812 368172 388044 402416 452718 490896 517392 603624 679077 736344 776088 905436 1207248 1358154 1472688 1552176 1749791 1810872 2716308 3499582 3621744 5249373 5432616 6999164 10498746 10865232 12248537 13998328 15748119 20997492 24497074 27996656 31496238 36745611 41994984 47244357 48994148 62992476 73491222 83989968 94488714 97988296 110236833 125984952 146982444 188977428 195976592 220473666 251969904 293964888 330710499 377954856 440947332 587929776 661420998 755909712 881894664 1322841996 1763789328 2645683992 5291367984