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13542449664 = 29327073257
BaseRepresentation
bin11001001110011000…
…10110001000000000
31021221210111201111210
430213030112020000
5210213331342124
610115445410120
7656410631352
oct144714261000
937853451453
1013542449664
11581a3a5967
12275b409940
13137a89a633
149268110d2
15543da2a29
hex327316200

13542449664 has 80 divisors (see below), whose sum is σ = 36102341088. Its totient is φ = 4511096832.

The previous prime is 13542449663. The next prime is 13542449677. The reversal of 13542449664 is 46694424531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13542449663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4156324 + ... + 4159580.

Almost surely, 213542449664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13542449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051170544).

13542449664 is an abundant number, since it is smaller than the sum of its proper divisors (22559891424).

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

13542449664 is an equidigital number, since it uses as much as digits as its factorization.

13542449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5969 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 13542449664 in words is "thirteen billion, five hundred forty-two million, four hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2707 3257 5414 6514 8121 9771 10828 13028 16242 19542 21656 26056 32484 39084 43312 52112 64968 78168 86624 104224 129936 156336 173248 208448 259872 312672 346496 416896 519744 625344 692992 833792 1039488 1250688 1385984 1667584 2078976 2501376 4157952 5002752 8816699 17633398 26450097 35266796 52900194 70533592 105800388 141067184 211600776 282134368 423201552 564268736 846403104 1128537472 1692806208 2257074944 3385612416 4514149888 6771224832 13542449664