Search a number
-
+
2738606712 = 233316160343
BaseRepresentation
bin1010001100111011…
…1101001001111000
321001212011122011020
42203032331021320
521102040403322
61131425502440
7124602526062
oct24316751170
97055148136
102738606712
111185965836
126451a1a20
133484b305a
141bda02732
1511065e05c
hexa33bd278

2738606712 has 64 divisors (see below), whose sum is σ = 7183349760. Its totient is φ = 868924800.

The previous prime is 2738606683. The next prime is 2738606737. The reversal of 2738606712 is 2176068372.

It is a super-2 number, since 2×27386067122 = 14999933446022901888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 15213 + ... + 75555.

It is an arithmetic number, because the mean of its divisors is an integer number (112239840).

Almost surely, 22738606712 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 2738606712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591674880).

2738606712 is an abundant number, since it is smaller than the sum of its proper divisors (4444743048).

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

2738606712 is a wasteful number, since it uses less digits than its factorization.

2738606712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60444 (or 60440 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2738606712 is about 52331.6989213994. The cubic root of 2738606712 is about 1399.0821725617.

The spelling of 2738606712 in words is "two billion, seven hundred thirty-eight million, six hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 1464 1891 3782 5673 7564 11346 15128 22692 45384 60343 120686 181029 241372 362058 482744 724116 1448232 1870633 3680923 3741266 5611899 7361846 7482532 11042769 11223798 14723692 14965064 22085538 22447596 29447384 44171076 44895192 88342152 114108613 228217226 342325839 456434452 684651678 912868904 1369303356 2738606712