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10145745008 = 247791146671
BaseRepresentation
bin10010111001011101…
…11100100001110000
3222012002000020200122
421130232330201300
5131234302320013
64354430305412
7506264260340
oct113456744160
928162006618
1010145745008
114337010433
121b71958268
13c58c59719
146c3660d20
153e5a9ba08
hex25cbbc870

10145745008 has 40 divisors (see below), whose sum is σ = 22749972480. Its totient is φ = 4293132480.

The previous prime is 10145744977. The next prime is 10145745013. The reversal of 10145745008 is 80054754101.

10145745008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101457450082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 564488 + ... + 582183.

It is an arithmetic number, because the mean of its divisors is an integer number (568749312).

Almost surely, 210145745008 is an apocalyptic number.

It is an amenable number.

10145745008 is an abundant number, since it is smaller than the sum of its proper divisors (12604227472).

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

10145745008 is a wasteful number, since it uses less digits than its factorization.

10145745008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146765 (or 1146759 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 10145745008 in words is "ten billion, one hundred forty-five million, seven hundred forty-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 8848 1146671 2293342 4586684 8026697 9173368 16053394 18346736 32106788 64213576 90587009 128427152 181174018 362348036 634109063 724696072 1268218126 1449392144 2536436252 5072872504 10145745008