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13229817520 = 2451785711351
BaseRepresentation
bin11000101001000111…
…01111111010110000
31021011000020100211111
430110203233322300
5204043313130040
610024440523104
7645563410363
oct142443577260
937130210744
1013229817520
115679983797
122692780494
13132ab98bba
148d70b00da
155266eadea
hex3148efeb0

13229817520 has 80 divisors (see below), whose sum is σ = 32609573568. Its totient is φ = 4974387200.

The previous prime is 13229817509. The next prime is 13229817533. The reversal of 13229817520 is 2571892231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×132298175202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159845 + ... + 1171195.

Almost surely, 213229817520 is an apocalyptic number.

13229817520 is a gapful number since it is divisible by the number (10) 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 13229817520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304786784).

13229817520 is an abundant number, since it is smaller than the sum of its proper divisors (19379756048).

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

13229817520 is a wasteful number, since it uses less digits than its factorization.

13229817520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12238 (or 12232 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 13229817520 in words is "thirteen billion, two hundred twenty-nine million, eight hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 857 1360 1714 3428 4285 6856 8570 11351 13712 14569 17140 22702 29138 34280 45404 56755 58276 68560 72845 90808 113510 116552 145690 181616 192967 227020 233104 291380 385934 454040 582760 771868 908080 964835 1165520 1543736 1929670 3087472 3859340 7718680 9727807 15437360 19455614 38911228 48639035 77822456 97278070 155644912 165372719 194556140 330745438 389112280 661490876 778224560 826863595 1322981752 1653727190 2645963504 3307454380 6614908760 13229817520