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10027440024 = 2337239249737
BaseRepresentation
bin10010101011010111…
…01001011110011000
3221212211101201202120
421111223221132120
5131014011040044
64335002501240
7503326556010
oct112553513630
927784351676
1010027440024
114286257118
121b3a204820
13c3a5a7184
146b1a66c40
153da4cd519
hex255ae9798

10027440024 has 64 divisors (see below), whose sum is σ = 28769817600. Its totient is φ = 2852984064.

The previous prime is 10027439899. The next prime is 10027440029. The reversal of 10027440024 is 42004472001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10027439976 and 10027440003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027440029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84717 + ... + 165020.

It is an arithmetic number, because the mean of its divisors is an integer number (449528400).

Almost surely, 210027440024 is an apocalyptic number.

10027440024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10027440024 is an abundant number, since it is smaller than the sum of its proper divisors (18742377576).

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

10027440024 is a wasteful number, since it uses less digits than its factorization.

10027440024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249992 (or 249988 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The spelling of 10027440024 in words is "ten billion, twenty-seven million, four hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 239 478 717 956 1434 1673 1912 2868 3346 5019 5736 6692 10038 13384 20076 40152 249737 499474 749211 998948 1498422 1748159 1997896 2996844 3496318 5244477 5993688 6992636 10488954 13985272 20977908 41955816 59687143 119374286 179061429 238748572 358122858 417810001 477497144 716245716 835620002 1253430003 1432491432 1671240004 2506860006 3342480008 5013720012 10027440024