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10141784608 = 25438388801
BaseRepresentation
bin10010111000111111…
…10101101000100000
3222011210120001001011
421130133311220200
5131232244101413
64354205350304
7506215514104
oct113437655040
928153501034
1010141784608
11433485597a
121b70568394
13c581a0ba7
146c2d0d904
153e556833d
hex25c7f5a20

10141784608 has 48 divisors (see below), whose sum is σ = 20677368096. Its totient is φ = 4893235200.

The previous prime is 10141784567. The next prime is 10141784621. The reversal of 10141784608 is 80648714101.

10141784608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69808 + ... + 158608.

It is an arithmetic number, because the mean of its divisors is an integer number (430778502).

Almost surely, 210141784608 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 10141784608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10338684048).

10141784608 is an abundant number, since it is smaller than the sum of its proper divisors (10535583488).

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

10141784608 is an equidigital number, since it uses as much as digits as its factorization.

10141784608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88937 (or 88929 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 10141784608 in words is "ten billion, one hundred forty-one million, seven hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 43 83 86 166 172 332 344 664 688 1328 1376 2656 3569 7138 14276 28552 57104 88801 114208 177602 355204 710408 1420816 2841632 3818443 7370483 7636886 14740966 15273772 29481932 30547544 58963864 61095088 117927728 122190176 235855456 316930769 633861538 1267723076 2535446152 5070892304 10141784608