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10153344032 = 2513191284583
BaseRepresentation
bin10010111010010111…
…11011110000100000
3222012121022022120222
421131023323300200
5131243224002112
64355301222212
7506416000046
oct113513736040
928177268528
1010153344032
114340330717
121b74401968
13c5a6ba4a0
146c467c396
153e659d372
hex25d2fbc20

10153344032 has 48 divisors (see below), whose sum is σ = 22660061760. Its totient is φ = 4439515392.

The previous prime is 10153344023. The next prime is 10153344053. The reversal of 10153344032 is 23044335101.

10153344032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10153343992 and 10153344010.

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, 634388 + ... + 650195.

It is an arithmetic number, because the mean of its divisors is an integer number (472084620).

Almost surely, 210153344032 is an apocalyptic number.

It is an amenable number.

10153344032 is an abundant number, since it is smaller than the sum of its proper divisors (12506717728).

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

10153344032 is a wasteful number, since it uses less digits than its factorization.

10153344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284625 (or 1284617 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10153344032 its reverse (23044335101), we get a palindrome (33197679133).

The spelling of 10153344032 in words is "ten billion, one hundred fifty-three million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 1284583 2569166 5138332 10276664 16699579 20553328 24407077 33399158 41106656 48814154 66798316 97628308 133596632 195256616 267193264 317292001 390513232 534386528 634584002 781026464 1269168004 2538336008 5076672016 10153344032