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10439953920 = 293451123199
BaseRepresentation
bin10011011100100010…
…10000111000000000
3222221120121121110000
421232101100320000
5132340112011140
64443540240000
7516466100304
oct115621207000
928846547400
1010439953920
1144780999a0
1220343a0000
13ca4baa636
14710767d04
15411814a30
hex26e450e00

10439953920 has 800 divisors, whose sum is σ = 42779404800. Its totient is φ = 2408693760.

The previous prime is 10439953907. The next prime is 10439953957. The reversal of 10439953920 is 2935993401.

10439953920 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 99 + 539 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52461981 + ... + 52462179.

It is an arithmetic number, because the mean of its divisors is an integer number (53474256).

Almost surely, 210439953920 is an apocalyptic number.

10439953920 is a gapful number since it is divisible by the number (10) 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 10439953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21389702400).

10439953920 is an abundant number, since it is smaller than the sum of its proper divisors (32339450880).

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

10439953920 is a wasteful number, since it uses less digits than its factorization.

10439953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 10439953920 in words is "ten billion, four hundred thirty-nine million, nine hundred fifty-three thousand, nine hundred twenty".