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13946329700 = 22521301107197
BaseRepresentation
bin11001111110100010…
…00001101001100100
31022222221110221202122
430333101001221210
5212030230022300
610223514125112
71002413563232
oct147721015144
938887427678
1013946329700
115a07380a16
122852720798
131413469cc4
14964305952
15569580c85
hex33f441a64

13946329700 has 36 divisors (see below), whose sum is σ = 30287079732. Its totient is φ = 5574192000.

The previous prime is 13946329697. The next prime is 13946329723. The reversal of 13946329700 is 792364931.

It can be written as a sum of positive squares in 6 ways, for example, as 8515229284 + 5431100416 = 92278^2 + 73696^2 .

It is a super-2 number, since 2×139463297002 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76502 + ... + 183698.

Almost surely, 213946329700 is an apocalyptic number.

13946329700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13946329700 is an abundant number, since it is smaller than the sum of its proper divisors (16340750032).

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

13946329700 is a wasteful number, since it uses less digits than its factorization.

13946329700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108512 (or 108505 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The spelling of 13946329700 in words is "thirteen billion, nine hundred forty-six million, three hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1301 2602 5204 6505 13010 26020 32525 65050 107197 130100 214394 428788 535985 1071970 2143940 2679925 5359850 10719700 139463297 278926594 557853188 697316485 1394632970 2789265940 3486582425 6973164850 13946329700