Search a number
-
+
10656425472 = 29371128191
BaseRepresentation
bin10011110110010110…
…00010011000000000
31000111122221111120220
421323023002120000
5133311021103342
64521232103040
7525035056560
oct117313023000
930448844526
1010656425472
114579302200
122094994a80
13100a9b1004
147313d6da0
154258245ec
hex27b2c2600

10656425472 has 240 divisors, whose sum is σ = 35667050496. Its totient is φ = 2767564800.

The previous prime is 10656425471. The next prime is 10656425473. The reversal of 10656425472 is 27452465601.

It is an interprime number because it is at equal distance from previous prime (10656425471) and next prime (10656425473).

It is a super-2 number, since 2×106564254722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10656425471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296897 + ... + 1305087.

Almost surely, 210656425472 is an apocalyptic number.

10656425472 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 10656425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833525248).

10656425472 is an abundant number, since it is smaller than the sum of its proper divisors (25010625024).

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

10656425472 is an equidigital number, since it uses as much as digits as its factorization.

10656425472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 10656425472 in words is "ten billion, six hundred fifty-six million, four hundred twenty-five thousand, four hundred seventy-two".