Search a number
-
+
146474007750 = 2335374765957
BaseRepresentation
bin1000100001101010000…
…1111111110011000110
3112000002000200112211000
42020122201333303012
54344434321222000
6151142250154130
713403522344320
oct2103241776306
9460060615730
10146474007750
1157134838a74
1224479a22946
1310a73c12105
147137388610
153c2428b000
hex221a87fcc6

146474007750 has 256 divisors, whose sum is σ = 474137763840. Its totient is φ = 32766940800.

The previous prime is 146474007733. The next prime is 146474007769. The reversal of 146474007750 is 57700474641.

146474007750 is a `hidden beast` number, since 1 + 464 + 74 + 0 + 0 + 77 + 50 = 666.

146474007750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 146474007696 and 146474007705.

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 127 ways as a sum of consecutive naturals, for example, 2187772 + ... + 2253728.

It is an arithmetic number, because the mean of its divisors is an integer number (1852100640).

Almost surely, 2146474007750 is an apocalyptic number.

146474007750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146474007750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237068881920).

146474007750 is an abundant number, since it is smaller than the sum of its proper divisors (327663756090).

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

146474007750 is a wasteful number, since it uses less digits than its factorization.

146474007750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66037 (or 66021 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 146474007750 in words is "one hundred forty-six billion, four hundred seventy-four million, seven thousand, seven hundred fifty".