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13520746896 = 2435322323833
BaseRepresentation
bin11001001011110011…
…00011100110010000
31021220021200002220120
430211321203212100
5210142302400041
610113352310240
7656025311106
oct144571434620
937807602816
1013520746896
115809122298
1227540a2380
13137623c167
149239a1c76
15542017366
hex325e63990

13520746896 has 80 divisors (see below), whose sum is σ = 35748711936. Its totient is φ = 4401865728.

The previous prime is 13520746831. The next prime is 13520746907. The reversal of 13520746896 is 69864702531.

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, 555396 + ... + 579228.

It is a 1-persistent number, because it is pandigital, but 2⋅13520746896 = 27041493792 is not.

Almost surely, 213520746896 is an apocalyptic number.

13520746896 is a gapful number since it is divisible by the number (16) 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 13520746896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874355968).

13520746896 is an abundant number, since it is smaller than the sum of its proper divisors (22227965040).

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

13520746896 is a wasteful number, since it uses less digits than its factorization.

13520746896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24120 (or 24114 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 13520746896 in words is "thirteen billion, five hundred twenty million, seven hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 223 318 424 446 636 669 848 892 1272 1338 1784 2544 2676 3568 5352 10704 11819 23638 23833 35457 47276 47666 70914 71499 94552 95332 141828 142998 189104 190664 283656 285996 381328 567312 571992 1143984 1263149 2526298 3789447 5052596 5314759 7578894 10105192 10629518 15157788 15944277 20210384 21259036 30315576 31888554 42518072 60631152 63777108 85036144 127554216 255108432 281682227 563364454 845046681 1126728908 1690093362 2253457816 3380186724 4506915632 6760373448 13520746896