Search a number
-
+
4935024880740 = 2232517317332257
BaseRepresentation
bin100011111010000011001…
…1001111010110001100100
3122110210011100222002001200
41013310012121322301210
51121323412332140430
614255041422122500
71016354342234433
oct107640631726144
918423140862050
104935024880740
111632a28986799
12678535a20430
1329a4a89aa336
14130bdc26b11a
158858832e460
hex47d0667ac64

4935024880740 has 288 divisors, whose sum is σ = 15997415747040. Its totient is φ = 1231396798464.

The previous prime is 4935024880739. The next prime is 4935024880771. The reversal of 4935024880740 is 470884205394.

4935024880740 is a `hidden beast` number, since 4 + 9 + 350 + 248 + 8 + 0 + 7 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 427904372736 + 4507120508004 = 654144^2 + 2122998^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152974692 + ... + 153006948.

It is an arithmetic number, because the mean of its divisors is an integer number (55546582455).

Almost surely, 24935024880740 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 4935024880740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998707873520).

4935024880740 is an abundant number, since it is smaller than the sum of its proper divisors (11062390866300).

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

4935024880740 is a wasteful number, since it uses less digits than its factorization.

4935024880740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32496 (or 32457 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4935024880740 in words is "four trillion, nine hundred thirty-five billion, twenty-four million, eight hundred eighty thousand, seven hundred forty".