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20775186496 = 264324192
BaseRepresentation
bin10011010110010011…
…000011000001000000
31222121212011211012201
4103112103003001000
5320021421431441
613313300202544
71333554112561
oct232623030100
958555154181
1020775186496
1188a1062119
124039699454
131c6118047c
141011232168
15818d40c31
hex4d64c3040

20775186496 has 63 divisors (see below), whose sum is σ = 42307768191. Its totient is φ = 10121806464.

The previous prime is 20775186491. The next prime is 20775186521. The reversal of 20775186496 is 69468157702.

The square root of 20775186496 is 144136.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×207751864963 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20775186491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49582575 + ... + 49582993.

Almost surely, 220775186496 is an apocalyptic number.

20775186496 is the 144136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20775186496

20775186496 is an abundant number, since it is smaller than the sum of its proper divisors (21532581695).

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

20775186496 is an frugal number, since it uses more digits than its factorization.

20775186496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 20775186496 in words is "twenty billion, seven hundred seventy-five million, one hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 419 688 838 1376 1676 1849 2752 3352 3698 6704 7396 13408 14792 18017 26816 29584 36034 59168 72068 118336 144136 175561 288272 351122 576544 702244 774731 1153088 1404488 1549462 2808976 3098924 5617952 6197848 7549123 11235904 12395696 15098246 24791392 30196492 49582784 60392984 120785968 241571936 324612289 483143872 649224578 1298449156 2596898312 5193796624 10387593248 20775186496