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10025306148 = 2231113192329461
BaseRepresentation
bin10010101011000111…
…00000100000100100
3221212200101022122010
421111203200200210
5131012434244043
64334445034220
7503302460544
oct112543404044
927780338563
1010025306148
114285029990
121b39555970
13c3a00ab20
146b166d324
153da20b133
hex2558e0824

10025306148 has 384 divisors, whose sum is σ = 31294771200. Its totient is φ = 2448230400.

The previous prime is 10025306131. The next prime is 10025306149. The reversal of 10025306148 is 84160352001.

It is a super-2 number, since 2×100253061482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10025306149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21746638 + ... + 21747098.

It is an arithmetic number, because the mean of its divisors is an integer number (81496800).

Almost surely, 210025306148 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 10025306148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647385600).

10025306148 is an abundant number, since it is smaller than the sum of its proper divisors (21269465052).

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

10025306148 is a wasteful number, since it uses less digits than its factorization.

10025306148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10025306148 its reverse (84160352001), we get a palindrome (94185658149).

The spelling of 10025306148 in words is "ten billion, twenty-five million, three hundred six thousand, one hundred forty-eight".