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10820678148 = 2232742939199
BaseRepresentation
bin10100001001111011…
…00111001000000100
31000221010000101220100
422010331213020010
5134130043200043
64545420404100
7532101150420
oct120475471004
930833011810
1010820678148
114652a99715
12211b9a6630
131035a30347
14749151b80
15434e6bcd3
hex284f67204

10820678148 has 36 divisors (see below), whose sum is σ = 31259737600. Its totient is φ = 3091622256.

The previous prime is 10820678147. The next prime is 10820678159. The reversal of 10820678148 is 84187602801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×108206781483 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10820678147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21469348 + ... + 21469851.

Almost surely, 210820678148 is an apocalyptic number.

10820678148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10820678148 is an abundant number, since it is smaller than the sum of its proper divisors (20439059452).

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

10820678148 is a wasteful number, since it uses less digits than its factorization.

10820678148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42939216 (or 42939211 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10820678148 in words is "ten billion, eight hundred twenty million, six hundred seventy-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 42939199 85878398 128817597 171756796 257635194 300574393 386452791 515270388 601148786 772905582 901723179 1202297572 1545811164 1803446358 2705169537 3606892716 5410339074 10820678148