Search a number
-
+
10042474176 = 263372336097
BaseRepresentation
bin10010101101001001…
…11111111011000000
3221220212200112202000
421112210333323000
5131031333133201
64340301024000
7503601423240
oct112644777300
927825615660
1010042474176
114293795539
121b43255000
13c4073c217
146b3a5bb20
153db99cd86
hex25693fec0

10042474176 has 224 divisors, whose sum is σ = 35208545280. Its totient is φ = 2744451072.

The previous prime is 10042474139. The next prime is 10042474213. The reversal of 10042474176 is 67147424001.

It is a happy number.

10042474176 is a `hidden beast` number, since 10 + 0 + 4 + 2 + 474 + 176 = 666.

It is an interprime number because it is at equal distance from previous prime (10042474139) and next prime (10042474213).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10042474176.

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, 260160 + ... + 296256.

Almost surely, 210042474176 is an apocalyptic number.

10042474176 is a gapful number since it is divisible by the number (16) 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 10042474176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604272640).

10042474176 is an abundant number, since it is smaller than the sum of its proper divisors (25166071104).

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

10042474176 is a wasteful number, since it uses less digits than its factorization.

10042474176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36148 (or 36132 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 10042474176 its reverse (67147424001), we get a palindrome (77189898177).

The spelling of 10042474176 in words is "ten billion, forty-two million, four hundred seventy-four thousand, one hundred seventy-six".