Search a number
-
+
10412425296 = 24327132193217
BaseRepresentation
bin10011011001010000…
…10000000001010000
3222212122211000021100
421230220100001100
5132311040102141
64441114224400
7516013104030
oct115450200120
928778730240
1010412425296
1144635a7269
122027125100
13c9c28c500
1470ac3d8c0
1540e1c80b6
hex26ca10050

10412425296 has 360 divisors, whose sum is σ = 37971885120. Its totient is φ = 2600792064.

The previous prime is 10412425253. The next prime is 10412425307. The reversal of 10412425296 is 69252421401.

It is a happy number.

10412425296 is a `hidden beast` number, since 1 + 0 + 4 + 124 + 2 + 529 + 6 = 666.

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 10412425296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3235080 + ... + 3238296.

Almost surely, 210412425296 is an apocalyptic number.

10412425296 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 10412425296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985942560).

10412425296 is an abundant number, since it is smaller than the sum of its proper divisors (27559459824).

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

10412425296 is a wasteful number, since it uses less digits than its factorization.

10412425296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 10412425296 its reverse (69252421401), we get a palindrome (79664846697).

The spelling of 10412425296 in words is "ten billion, four hundred twelve million, four hundred twenty-five thousand, two hundred ninety-six".