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13961850741136 = 24372252472
BaseRepresentation
bin1100101100101011111100…
…1001110110000110010000
31211102201222101100210211001
43023022333021312012100
53312222332242204021
645405552524031344
72640465451116364
oct313127711660620
954381871323731
1013961850741136
1144a3207838881
121695a97692554
137a379b4492ac
14363a859c52a4
151932a6b44091
hexcb2bf276190

13961850741136 has 45 divisors (see below), whose sum is σ = 27803057221569. Its totient is φ = 6791982679872.

The previous prime is 13961850741131. The next prime is 13961850741191. The reversal of 13961850741136 is 63114705816931.

It is a happy number.

The square root of 13961850741136 is 3736556.

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

13961850741136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12493255776400 + 1468594964736 = 3534580^2 + 1211856^2 .

It is a super-2 number, since 2×139618507411362 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13961850741131) 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, 552997665 + ... + 553022911.

Almost surely, 213961850741136 is an apocalyptic number.

13961850741136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13961850741136 is the 3736556-th square number.

It is an amenable number.

13961850741136 is a deficient number, since it is larger than the sum of its proper divisors (13841206480433).

13961850741136 is an frugal number, since it uses more digits than its factorization.

13961850741136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50576 (or 25286 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 13961850741136 in words is "thirteen trillion, nine hundred sixty-one billion, eight hundred fifty million, seven hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 5476 10952 21904 25247 50494 100988 201976 403952 934139 1868278 3736556 7473112 14946224 34563143 69126286 138252572 276505144 553010288 637411009 1274822018 2549644036 5099288072 10198576144 23584207333 47168414666 94336829332 188673658664 377347317328 872615671321 1745231342642 3490462685284 6980925370568 13961850741136