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5022271296 = 26337415201
BaseRepresentation
bin1001010110101100…
…11100011101000000
3110222000021211001000
410223112130131000
540241200140141
62150204412000
7235312413240
oct45326343500
913860254030
105022271296
112147a39839
12b81b47000
13620658a83
1435901bb20
151e5da55b6
hex12b59c740

5022271296 has 112 divisors (see below), whose sum is σ = 16873809280. Its totient is φ = 1434931200.

The previous prime is 5022271279. The next prime is 5022271297. The reversal of 5022271296 is 6921722205.

It is a happy number.

5022271296 is a `hidden beast` number, since 502 + 2 + 27 + 129 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×50222712963 (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5022271296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5022271297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195505 + ... + 219696.

Almost surely, 25022271296 is an apocalyptic number.

5022271296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5022271296 is an abundant number, since it is smaller than the sum of its proper divisors (11851537984).

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

5022271296 is a wasteful number, since it uses less digits than its factorization.

5022271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415229 (or 415213 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5022271296 is about 70867.9849861699. The cubic root of 5022271296 is about 1712.5110783804.

The spelling of 5022271296 in words is "five billion, twenty-two million, two hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 415201 830402 1245603 1660804 2491206 2906407 3321608 3736809 4982412 5812814 6643216 7473618 8719221 9964824 11210427 11625628 13286432 14947236 17438442 19929648 22420854 23251256 26157663 26572864 29894472 34876884 39859296 44841708 46502512 52315326 59788944 69753768 78472989 79718592 89683416 93005024 104630652 119577888 139507536 156945978 179366832 186010048 209261304 239155776 279015072 313891956 358733664 418522608 558030144 627783912 717467328 837045216 1255567824 1674090432 2511135648 5022271296