Search a number
-
+
5010553680 = 24351123179461
BaseRepresentation
bin1001010101010011…
…01111101101010000
3110221012020111111020
410222221233231100
540230200204210
62145105315440
7235111001136
oct45251575520
913835214436
105010553680
112141366160
12b7a035b80
1361b0b5482
1435764b756
151e4d3d770
hex12aa6fb50

5010553680 has 320 divisors, whose sum is σ = 17818859520. Its totient is φ = 1152870400.

The previous prime is 5010553651. The next prime is 5010553699. The reversal of 5010553680 is 863550105.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 10868650 + ... + 10869110.

It is an arithmetic number, because the mean of its divisors is an integer number (55683936).

Almost surely, 25010553680 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 5010553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909429760).

5010553680 is an abundant number, since it is smaller than the sum of its proper divisors (12808305840).

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

5010553680 is a wasteful number, since it uses less digits than its factorization.

5010553680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 5010553680 is about 70785.2645682701. The cubic root of 5010553680 is about 1711.1782037872.

The spelling of 5010553680 in words is "five billion, ten million, five hundred fifty-three thousand, six hundred eighty".