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13619823616 = 210725212
BaseRepresentation
bin11001010111100111…
…00000010000000000
31022011012002201121201
430223303200100000
5210343133323431
610131252030544
7661340406400
oct145363402000
938135081551
1013619823616
11585a043083
122781302454
13139091b639
14932bd2800
1554aa88461
hex32bce0400

13619823616 has 99 divisors (see below), whose sum is σ = 31732370877. Its totient is φ = 5825863680.

The previous prime is 13619823611. The next prime is 13619823643. The reversal of 13619823616 is 61632891631.

The square root of 13619823616 is 116704.

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

It can be written as a sum of positive squares in only one way, i.e., 3905750016 + 9714073600 = 62496^2 + 98560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13619823611) 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, 26141436 + ... + 26141956.

Almost surely, 213619823616 is an apocalyptic number.

13619823616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13619823616 is the 116704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13619823616

13619823616 is an abundant number, since it is smaller than the sum of its proper divisors (18112547261).

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

13619823616 is an frugal number, since it uses more digits than its factorization.

13619823616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 530 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The spelling of 13619823616 in words is "thirteen billion, six hundred nineteen million, eight hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 521 784 896 1024 1042 1568 1792 2084 3136 3584 3647 4168 6272 7168 7294 8336 12544 14588 16672 25088 25529 29176 33344 50176 51058 58352 66688 102116 116704 133376 204232 233408 266752 271441 408464 466816 533504 542882 816928 933632 1085764 1633856 1867264 1900087 2171528 3267712 3734528 3800174 4343056 6535424 7600348 8686112 13070848 13300609 15200696 17372224 26141696 26601218 30401392 34744448 53202436 60802784 69488896 106404872 121605568 138977792 212809744 243211136 277955584 425619488 486422272 851238976 972844544 1702477952 1945689088 3404955904 6809911808 13619823616