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13946321520 = 2432519369891
BaseRepresentation
bin11001111110100001…
…11111101001110000
31022222221110112112200
430333100333221300
5212030224242040
610223514023200
71002413530335
oct147720775160
938887415480
1013946321520
115a0737585a
122852717b00
131413466371
1496430298c
1556957d630
hex33f43fa70

13946321520 has 60 divisors (see below), whose sum is σ = 46836398856. Its totient is φ = 3719018880.

The previous prime is 13946321507. The next prime is 13946321527. The reversal of 13946321520 is 2512364931.

13946321520 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 632 + 15 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×139463215202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13946321527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9684226 + ... + 9685665.

Almost surely, 213946321520 is an apocalyptic number.

13946321520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13946321520 is an abundant number, since it is smaller than the sum of its proper divisors (32890077336).

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

13946321520 is a wasteful number, since it uses less digits than its factorization.

13946321520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19369910 (or 19369901 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13946321520 in words is "thirteen billion, nine hundred forty-six million, three hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19369891 38739782 58109673 77479564 96849455 116219346 154959128 174329019 193698910 232438692 290548365 309918256 348658038 387397820 464877384 581096730 697316076 774795640 871645095 929754768 1162193460 1394632152 1549591280 1743290190 2324386920 2789264304 3486580380 4648773840 6973160760 13946321520