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10230631488 = 2632711251919
BaseRepresentation
bin10011000011100101…
…10000110001000000
3222101222201221001100
421201302300301000
5131423020201423
64411101534400
7511344634650
oct114162606100
928358657040
1010230631488
11437aa19950
121b96274400
13c7070accc
146d0a3a360
153ed268343
hex261cb0c40

10230631488 has 336 divisors, whose sum is σ = 36745712640. Its totient is φ = 2643840000.

The previous prime is 10230631487. The next prime is 10230631493. The reversal of 10230631488 is 88413603201.

10230631488 is a `hidden beast` number, since 10 + 2 + 3 + 0 + 631 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10230631487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11131893 + ... + 11132811.

It is an arithmetic number, because the mean of its divisors is an integer number (109362240).

Almost surely, 210230631488 is an apocalyptic number.

10230631488 is a gapful number since it is divisible by the number (18) 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 10230631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372856320).

10230631488 is an abundant number, since it is smaller than the sum of its proper divisors (26515081152).

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

10230631488 is a wasteful number, since it uses less digits than its factorization.

10230631488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10230631488 in words is "ten billion, two hundred thirty million, six hundred thirty-one thousand, four hundred eighty-eight".