Search a number
-
+
2634994362 = 23711131912297
BaseRepresentation
bin1001110100001110…
…1101001010111010
320210122012120201210
42131003231022322
520344024304422
61113245023550
7122204040210
oct23503551272
96718176653
102634994362
1111324272a0
12616554bb6
1332cba6280
141add50cb0
151064e410c
hex9d0ed2ba

2634994362 has 128 divisors (see below), whose sum is σ = 7115931648. Its totient is φ = 628185600.

The previous prime is 2634994357. The next prime is 2634994363.

2634994362 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2634994363) 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 63 ways as a sum of consecutive naturals, for example, 1145998 + ... + 1148294.

It is an arithmetic number, because the mean of its divisors is an integer number (55593216).

Almost surely, 22634994362 is an apocalyptic number.

2634994362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2634994362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557965824).

2634994362 is an abundant number, since it is smaller than the sum of its proper divisors (4480937286).

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

2634994362 is a wasteful number, since it uses less digits than its factorization.

2634994362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524.

The product of its digits is 1679616, while the sum is 48.

The square root of 2634994362 is about 51332.1961540708. The cubic root of 2634994362 is about 1381.2105812901.

The spelling of 2634994362 in words is "two billion, six hundred thirty-four million, nine hundred ninety-four thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 191 231 273 286 382 429 462 546 573 858 1001 1146 1337 2002 2101 2297 2483 2674 3003 4011 4202 4594 4966 6006 6303 6891 7449 8022 12606 13782 14707 14898 16079 17381 25267 27313 29414 29861 32158 34762 44121 48237 50534 52143 54626 59722 75801 81939 88242 89583 96474 104286 151602 163878 176869 179166 191191 209027 328471 353738 382382 418054 438727 530607 573573 627081 656942 877454 985413 1061214 1147146 1254162 1316181 1970826 2299297 2632362 3071089 4598594 4825997 5703451 6142178 6897891 9213267 9651994 11406902 13795782 14477991 17110353 18426534 28955982 33781979 34220706 39924157 62737961 67563958 79848314 101345937 119772471 125475922 188213883 202691874 239544942 376427766 439165727 878331454 1317497181 2634994362