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20525215424 = 267193765171
BaseRepresentation
bin10011000111011001…
…011110111011000000
31221222102210222100212
4103013121132323000
5314013423343144
613232410333252
71324430311130
oct230731367300
957872728325
1020525215424
118782a4915a
123b89a2a228
131c2144acac
14dc9d62ac0
15801e1549e
hex4c765eec0

20525215424 has 112 divisors (see below), whose sum is σ = 50323211520. Its totient is φ = 8108190720.

The previous prime is 20525215393. The next prime is 20525215427. The reversal of 20525215424 is 42451252502.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20525215427) 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, 282359 + ... + 347529.

Almost surely, 220525215424 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 20525215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25161605760).

20525215424 is an abundant number, since it is smaller than the sum of its proper divisors (29797996096).

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

20525215424 is a wasteful number, since it uses less digits than its factorization.

20525215424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65246 (or 65236 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

Adding to 20525215424 its reverse (42451252502), we get a palindrome (62976467926).

The spelling of 20525215424 in words is "twenty billion, five hundred twenty-five million, two hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 64 74 76 112 133 148 152 224 259 266 296 304 448 518 532 592 608 703 1036 1064 1184 1216 1406 2072 2128 2368 2812 4144 4256 4921 5624 8288 8512 9842 11248 16576 19684 22496 39368 44992 65171 78736 130342 157472 260684 314944 456197 521368 912394 1042736 1238249 1824788 2085472 2411327 2476498 3649576 4170944 4822654 4952996 7299152 8667743 9645308 9905992 14598304 16879289 17335486 19290616 19811984 29196608 33758578 34670972 38581232 39623968 45815213 67517156 69341944 77162464 79247936 91630426 135034312 138683888 154324928 183260852 270068624 277367776 320706491 366521704 540137248 554735552 641412982 733043408 1080274496 1282825964 1466086816 2565651928 2932173632 5131303856 10262607712 20525215424