Search a number
-
+
2107337376192 = 263283268914423
BaseRepresentation
bin11110101010100111000…
…110001000000111000000
321110110101222001112010120
4132222213012020013000
5234011311332014232
64252033013300240
7305151533101626
oct36524706100700
97413358045116
102107337376192
11742798013254
122a04bb034680
1312394b233019
1473dd21ad516
1539c3b47492c
hex1eaa71881c0

2107337376192 has 112 divisors (see below), whose sum is σ = 5597834392320. Its totient is φ = 699654832128.

The previous prime is 2107337376191. The next prime is 2107337376203. The reversal of 2107337376192 is 2916737337012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107337376191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146102293 + ... + 146116715.

Almost surely, 22107337376192 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 2107337376192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798917196160).

2107337376192 is an abundant number, since it is smaller than the sum of its proper divisors (3490497016128).

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

2107337376192 is a wasteful number, since it uses less digits than its factorization.

2107337376192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17410 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 51.

The spelling of 2107337376192 in words is "two trillion, one hundred seven billion, three hundred thirty-seven million, three hundred seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1132 1698 2264 2689 3396 4528 5378 6792 8067 9056 10756 13584 14423 16134 18112 21512 27168 28846 32268 43024 43269 54336 57692 64536 86048 86538 115384 129072 172096 173076 230768 258144 346152 461536 516288 692304 760987 923072 1384608 1521974 2282961 2769216 3043948 4081709 4565922 6087896 8163418 9131844 12175792 12245127 16326836 18263688 24351584 24490254 32653672 36527376 38783447 48703168 48980508 65307344 73054752 77566894 97961016 116350341 130614688 146109504 155133788 195922032 232700682 261229376 310267576 391844064 465401364 620535152 783688128 930802728 1241070304 1861605456 2482140608 3723210912 7446421824 10975715501 21951431002 32927146503 43902862004 65854293006 87805724008 131708586012 175611448016 263417172024 351222896032 526834344048 702445792064 1053668688096 2107337376192