Search a number
-
+
4739253879648 = 253311592491223
BaseRepresentation
bin100010011110111000110…
…0010110100001101100000
3121210001211202021210110110
41010331301202310031200
51110121442443122043
614025103322131320
7666254062210341
oct104756142641540
917701752253413
104739253879648
1115679a7299012
126465ba650b40
13284ba987b2a2
14125549ab00c8
158342b2b6b33
hex44f718b4360

4739253879648 has 48 divisors (see below), whose sum is σ = 12841849230336. Its totient is φ = 1528791573120.

The previous prime is 4739253879587. The next prime is 4739253879649. The reversal of 4739253879648 is 8469783529374.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4739253879648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4739253879649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796242636 + ... + 796248587.

It is an arithmetic number, because the mean of its divisors is an integer number (267538525632).

Almost surely, 24739253879648 is an apocalyptic number.

4739253879648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4739253879648 is an abundant number, since it is smaller than the sum of its proper divisors (8102595350688).

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

4739253879648 is a wasteful number, since it uses less digits than its factorization.

4739253879648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592491267 (or 1592491259 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 75.

The spelling of 4739253879648 in words is "four trillion, seven hundred thirty-nine billion, two hundred fifty-three million, eight hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 1592491223 3184982446 4777473669 6369964892 9554947338 12739929784 19109894676 25479859568 38219789352 49367227913 50959719136 76439578704 98734455826 148101683739 152879157408 197468911652 296203367478 394937823304 592406734956 789875646608 1184813469912 1579751293216 2369626939824 4739253879648