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13703147712 = 2632137173651
BaseRepresentation
bin11001100001100010…
…10111000011000000
31022100222220000210100
430300301113003000
5211031001211322
610143430002400
7663401555652
oct146061270300
938328800710
1013703147712
1158a2084771
1227a51a6400
1313a4c73a37
1493dcc26d2
15553046dac
hex330c570c0

13703147712 has 84 divisors (see below), whose sum is σ = 39564524376. Its totient is φ = 4534348800.

The previous prime is 13703147701. The next prime is 13703147723. The reversal of 13703147712 is 21774130731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13703147701) and next prime (13703147723).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7914 + ... + 165737.

Almost surely, 213703147712 is an apocalyptic number.

13703147712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13703147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19782262188).

13703147712 is an abundant number, since it is smaller than the sum of its proper divisors (25861376664).

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

13703147712 is a wasteful number, since it uses less digits than its factorization.

13703147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173806 (or 173793 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 13703147712 in words is "thirteen billion, seven hundred three million, one hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 411 548 576 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 19728 26304 39456 78912 173651 347302 520953 694604 1041906 1389208 1562859 2083812 2778416 3125718 4167624 5556832 6251436 8335248 11113664 12502872 16670496 23790187 25005744 33340992 47580374 50011488 71370561 95160748 100022976 142741122 190321496 214111683 285482244 380642992 428223366 570964488 761285984 856446732 1141928976 1522571968 1712893464 2283857952 3425786928 4567715904 6851573856 13703147712