Search a number
-
+
104547444540 = 223571167337751
BaseRepresentation
bin110000101011110000…
…0110110011100111100
3100222212002110110102120
41201113200312130330
53203103121211130
6120010050322540
710360532421210
oct1412740663474
9328762413376
10104547444540
114037a341530
1218318889450
139b21988426
1450bad9a940
152abd59a910
hex185783673c

104547444540 has 192 divisors, whose sum is σ = 370413969408. Its totient is φ = 21399840000.

The previous prime is 104547444527. The next prime is 104547444553. The reversal of 104547444540 is 45444745401.

104547444540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104547444527) and next prime (104547444553).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 104547444492 and 104547444501.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 140665 + ... + 478415.

It is an arithmetic number, because the mean of its divisors is an integer number (1929239424).

Almost surely, 2104547444540 is an apocalyptic number.

104547444540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104547444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185206984704).

104547444540 is an abundant number, since it is smaller than the sum of its proper divisors (265866524868).

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

104547444540 is a wasteful number, since it uses less digits than its factorization.

104547444540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337848 (or 337846 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 42.

The spelling of 104547444540 in words is "one hundred four billion, five hundred forty-seven million, four hundred forty-four thousand, five hundred forty".