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10000083648 = 263192741251
BaseRepresentation
bin10010101000000110…
…10010101011000000
3221210220220212212110
421110003102223000
5130440010134043
64332144255320
7502545210552
oct112403225300
927726825773
1010000083648
114271871945
121b31011540
13c34a19579
146ac1854d2
153d7dc7b33
hex2540d2ac0

10000083648 has 56 divisors (see below), whose sum is σ = 27851120320. Its totient is φ = 3157920000.

The previous prime is 10000083641. The next prime is 10000083671. The reversal of 10000083648 is 84638000001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10000083641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366978 + ... + 1374273.

Almost surely, 210000083648 is an apocalyptic number.

It is an amenable number.

10000083648 is an abundant number, since it is smaller than the sum of its proper divisors (17851036672).

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

10000083648 is a wasteful number, since it uses less digits than its factorization.

10000083648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741285 (or 2741275 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 10000083648 its reverse (84638000001), we get a palindrome (94638083649).

The spelling of 10000083648 in words is "ten billion, eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 2741251 5482502 8223753 10965004 16447506 21930008 32895012 43860016 52083769 65790024 87720032 104167538 131580048 156251307 175440064 208335076 263160096 312502614 416670152 526320192 625005228 833340304 1250010456 1666680608 2500020912 3333361216 5000041824 10000083648