Search a number
-
+
1474049843712 = 29331767179523
BaseRepresentation
bin10101011100110100001…
…101111010001000000000
312012220210001211121112000
4111130310031322020000
5143122323224444322
63045100311504000
7211332220640145
oct25346415721000
95186701747460
101474049843712
11519160787936
121b9820388000
13a90050a5144
14514b702c3cc
152852408e3ac
hex1573437a200

1474049843712 has 640 divisors, whose sum is σ = 4724119065600. Its totient is φ = 452133715968.

The previous prime is 1474049843711. The next prime is 1474049843801. The reversal of 1474049843712 is 2173489404741.

1474049843712 is a `hidden beast` number, since 1 + 4 + 7 + 40 + 498 + 43 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1474049843711) by changing a digit.

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, 2818450683 + ... + 2818451205.

It is an arithmetic number, because the mean of its divisors is an integer number (7381436040).

Almost surely, 21474049843712 is an apocalyptic number.

1474049843712 is a gapful number since it is divisible by the number (12) 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 1474049843712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362059532800).

1474049843712 is an abundant number, since it is smaller than the sum of its proper divisors (3250069221888).

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

1474049843712 is a wasteful number, since it uses less digits than its factorization.

1474049843712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1474049843712 in words is "one trillion, four hundred seventy-four billion, forty-nine million, eight hundred forty-three thousand, seven hundred twelve".