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13347751152 = 2431014196571
BaseRepresentation
bin11000110111001011…
…01000010011110000
31021110020011000100210
430123211220103300
5204314011014102
610044252344120
7651525004251
oct143345502360
937406130323
1013347751152
11572a503aaa
122706175040
13134944b408
14908a0cb28
15531c4436c
hex31b9684f0

13347751152 has 80 divisors (see below), whose sum is σ = 34911515520. Its totient is φ = 4394016000.

The previous prime is 13347751139. The next prime is 13347751213. The reversal of 13347751152 is 25115774331.

It is a self number, because there is not a number n which added to its sum of digits gives 13347751152.

It is a congruent number.

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, 2028027 + ... + 2034597.

It is an arithmetic number, because the mean of its divisors is an integer number (436393944).

Almost surely, 213347751152 is an apocalyptic number.

13347751152 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 13347751152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17455757760).

13347751152 is an abundant number, since it is smaller than the sum of its proper divisors (21563764368).

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

13347751152 is a wasteful number, since it uses less digits than its factorization.

13347751152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7096 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The spelling of 13347751152 in words is "thirteen billion, three hundred forty-seven million, seven hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 419 606 808 838 1212 1257 1616 1676 2424 2514 3352 4848 5028 6571 6704 10056 13142 19713 20112 26284 39426 42319 52568 78852 84638 105136 126957 157704 169276 253914 315408 338552 507828 663671 677104 1015656 1327342 1991013 2031312 2654684 2753249 3982026 5309368 5506498 7964052 8259747 10618736 11012996 15928104 16519494 22025992 31856208 33038988 44051984 66077976 132155952 278078149 556156298 834234447 1112312596 1668468894 2224625192 3336937788 4449250384 6673875576 13347751152