Search a number
-
+
74810343648 = 253411031271453
BaseRepresentation
bin100010110101100001…
…0110100000011100000
321011002122212012211110
41011223002310003200
52211202421444043
654211205143320
75255604300105
oct1055302640340
9234078765743
1074810343648
11297aa541497
12125b99bab40
137092c01041
143899828aac
151e2caa2b33
hex116b0b40e0

74810343648 has 192 divisors, whose sum is σ = 204860178432. Its totient is φ = 23886213120.

The previous prime is 74810343617. The next prime is 74810343659. The reversal of 74810343648 is 84634301847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 74810343597 and 74810343606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51486090 + ... + 51487542.

It is an arithmetic number, because the mean of its divisors is an integer number (1066980096).

Almost surely, 274810343648 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 74810343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102430089216).

74810343648 is an abundant number, since it is smaller than the sum of its proper divisors (130049834784).

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

74810343648 is a wasteful number, since it uses less digits than its factorization.

74810343648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 74810343648 in words is "seventy-four billion, eight hundred ten million, three hundred forty-three thousand, six hundred forty-eight".