Search a number
-
+
2738118372 = 2231121139817
BaseRepresentation
bin1010001100110100…
…0101111011100100
321001211020211021120
42203031011323210
521101424241442
61131411213540
7124565423253
oct24315057344
97054224246
102738118372
111185661950
12644ba72b0
133483719b2
141bd91679a
151105b44ec
hexa3345ee4

2738118372 has 48 divisors (see below), whose sum is σ = 6973764672. Its totient is φ = 829255680.

The previous prime is 2738118359. The next prime is 2738118389.

2738118372 is nontrivially palindromic in base 10.

2738118372 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 274008 + ... + 283824.

It is an arithmetic number, because the mean of its divisors is an integer number (145286764).

Almost surely, 22738118372 is an apocalyptic number.

2738118372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2738118372 is an abundant number, since it is smaller than the sum of its proper divisors (4235646300).

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

2738118372 is a wasteful number, since it uses less digits than its factorization.

2738118372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11948 (or 11946 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 2738118372 is about 52327.0328988755. The cubic root of 2738118372 is about 1398.9990075957. Note that the first 3 decimals are identical.

It can be divided in two parts, 27381 and 18372, that added together give a triangular number (45753 = T302).

The spelling of 2738118372 in words is "two billion, seven hundred thirty-eight million, one hundred eighteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2113 4226 6339 8452 9817 12678 19634 23243 25356 29451 39268 46486 58902 69729 92972 107987 117804 139458 215974 278916 323961 431948 647922 1295844 20743321 41486642 62229963 82973284 124459926 228176531 248919852 456353062 684529593 912706124 1369059186 2738118372