Search a number
-
+
13498346176 = 267971072903
BaseRepresentation
bin11001001001001000…
…00110101011000000
31021211201112000220021
430210210012223000
5210121034034201
610111232223224
7655334022640
oct144444065300
937751460807
1013498346176
1157a75122a7
12274869ab14
1313716c80b3
14920a10520
1554008eea1
hex324906ac0

13498346176 has 112 divisors (see below), whose sum is σ = 31227710976. Its totient is φ = 5669904384.

The previous prime is 13498346129. The next prime is 13498346201. The reversal of 13498346176 is 67164389431.

It is a tau number, because it is divible by the number of its divisors (112).

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, 4648341 + ... + 4651243.

It is an arithmetic number, because the mean of its divisors is an integer number (278818848).

Almost surely, 213498346176 is an apocalyptic number.

13498346176 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 13498346176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15613855488).

13498346176 is an abundant number, since it is smaller than the sum of its proper divisors (17729364800).

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

13498346176 is a wasteful number, since it uses less digits than its factorization.

13498346176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3116 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 13498346176 in words is "thirteen billion, four hundred ninety-eight million, three hundred forty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 107 112 194 214 224 388 428 448 679 749 776 856 1358 1498 1552 1712 2716 2903 2996 3104 3424 5432 5806 5992 6208 6848 10379 10864 11612 11984 20321 20758 21728 23224 23968 40642 41516 43456 46448 47936 72653 81284 83032 92896 145306 162568 166064 185792 281591 290612 310621 325136 332128 563182 581224 621242 650272 664256 1126364 1162448 1242484 1300544 1971137 2174347 2252728 2324896 2484968 3942274 4348694 4505456 4649792 4969936 7884548 8697388 9010912 9939872 15769096 17394776 18021824 19879744 30130237 31538192 34789552 60260474 63076384 69579104 120520948 126152768 139158208 210911659 241041896 421823318 482083792 843646636 964167584 1687293272 1928335168 3374586544 6749173088 13498346176