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10024468608 = 273731121737
BaseRepresentation
bin10010101011000000…
…10100000010000000
3221212121210202202010
421111200110002000
5131012230443413
64334415052520
7503262402000
oct112540240200
927777722663
1010024468608
114284607700
121b39211140
13c39aa683b
146b14d2000
153da0e2dc3
hex255814080

10024468608 has 768 divisors, whose sum is σ = 37116576000. Its totient is φ = 2384363520.

The previous prime is 10024468607. The next prime is 10024468613. The reversal of 10024468608 is 80686442001.

It is not an unprimeable number, because it can be changed into a prime (10024468607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270931566 + ... + 270931602.

It is an arithmetic number, because the mean of its divisors is an integer number (48328875).

Almost surely, 210024468608 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 10024468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18558288000).

10024468608 is an abundant number, since it is smaller than the sum of its proper divisors (27092107392).

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

10024468608 is a wasteful number, since it uses less digits than its factorization.

10024468608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 10024468608 in words is "ten billion, twenty-four million, four hundred sixty-eight thousand, six hundred eight".