Search a number
-
+
4948037881344 = 29310612683
BaseRepresentation
bin100100000000000111000…
…0010100100111000000000
3122112000202021020000000000
41020000032002210320000
51122032040144200334
614305033000000000
71020324664016625
oct110001602447000
918460667200000
104948037881344
1116384a6430748
1267ab67a60000
1329b7a09815ac
141316b461c34c
1588a9a99d299
hex4800e0a4e00

4948037881344 has 440 divisors, whose sum is σ = 15078258667032. Its totient is φ = 1621702840320.

The previous prime is 4948037881333. The next prime is 4948037881349. The reversal of 4948037881344 is 4431887308494.

4948037881344 is a `hidden beast` number, since 4 + 9 + 480 + 3 + 78 + 81 + 3 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4948037881349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1844217027 + ... + 1844219709.

Almost surely, 24948037881344 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 4948037881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539129333516).

4948037881344 is an abundant number, since it is smaller than the sum of its proper divisors (10130220785688).

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

4948037881344 is an frugal number, since it uses more digits than its factorization.

4948037881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 4948037881344 in words is "four trillion, nine hundred forty-eight billion, thirty-seven million, eight hundred eighty-one thousand, three hundred forty-four".