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20465591364 = 223211322112
BaseRepresentation
bin10011000011110110…
…000010010001000100
31221211021121202112100
4103003312002101010
5313403142410424
613222440352100
71323104441061
oct230366022104
957737552470
1020465591364
118752324779
123b71a75630
131c11ca319a
14dc2081c68
157eba88dc9
hex4c3d82444

20465591364 has 81 divisors (see below), whose sum is σ = 52442866749. Its totient is φ = 6729448320.

The previous prime is 20465591359. The next prime is 20465591369. The reversal of 20465591364 is 46319556402.

The square root of 20465591364 is 143058.

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

20465591364 is a `hidden beast` number, since 2 + 0 + 465 + 59 + 136 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20465591359) and next prime (20465591369).

It can be written as a sum of positive squares in only one way, i.e., 360620100 + 20104971264 = 18990^2 + 141792^2 .

It is not an unprimeable number, because it can be changed into a prime (20465591369) 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 26 ways as a sum of consecutive naturals, for example, 96993219 + ... + 96993429.

Almost surely, 220465591364 is an apocalyptic number.

20465591364 is the 143058-th square number.

It is an amenable number.

20465591364 is an abundant number, since it is smaller than the sum of its proper divisors (31977275385).

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

20465591364 is a wasteful number, since it uses less digits than its factorization.

20465591364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 20465591364 in words is "twenty billion, four hundred sixty-five million, five hundred ninety-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 211 226 339 422 452 633 678 844 1017 1266 1356 1899 2034 2532 3798 4068 7596 12769 23843 25538 38307 44521 47686 51076 71529 76614 89042 95372 114921 133563 143058 153228 178084 214587 229842 267126 286116 400689 429174 459684 534252 801378 858348 1602756 2694259 5030873 5388518 8082777 10061746 10777036 15092619 16165554 20123492 24248331 30185238 32331108 45277857 48496662 60370476 90555714 96993324 181111428 568488649 1136977298 1705465947 2273954596 3410931894 5116397841 6821863788 10232795682 20465591364