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10402421024 = 254326992801
BaseRepresentation
bin10011011000000100…
…00101100100100000
3222211221222201222202
421230002011210200
5132301004433044
64440115552332
7515532056042
oct115402054440
928757881882
1010402421024
114458993976
1220238bb6a8
13c9a198a18
14709797a92
1540d39dc4e
hex26c085920

10402421024 has 48 divisors (see below), whose sum is σ = 20971288800. Its totient is φ = 5076556800.

The previous prime is 10402421021. The next prime is 10402421027. The reversal of 10402421024 is 42012420401.

It is an interprime number because it is at equal distance from previous prime (10402421021) and next prime (10402421027).

It is a junction number, because it is equal to n+sod(n) for n = 10402420987 and 10402421005.

It is not an unprimeable number, because it can be changed into a prime (10402421021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3712424 + ... + 3715224.

It is an arithmetic number, because the mean of its divisors is an integer number (436901850).

Almost surely, 210402421024 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 10402421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485644400).

10402421024 is an abundant number, since it is smaller than the sum of its proper divisors (10568867776).

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

10402421024 is a wasteful number, since it uses less digits than its factorization.

10402421024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10402421024 its reverse (42012420401), we get a palindrome (52414841425).

The spelling of 10402421024 in words is "ten billion, four hundred two million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 2699 2801 5398 5602 10796 11204 21592 22408 43184 44816 86368 89632 116057 120443 232114 240886 464228 481772 928456 963544 1856912 1927088 3713824 3854176 7559899 15119798 30239596 60479192 120958384 241916768 325075657 650151314 1300302628 2600605256 5201210512 10402421024