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10229076512 = 251929412
BaseRepresentation
bin10011000011011001…
…10101001000100000
3222101212210221000122
421201230311020200
5131422120422022
64411004335412
7511325500334
oct114154651040
928355727018
1010229076512
11437a057646
121b95844568
13c702b52c5
146d07537c4
153ed05c742
hex261b35220

10229076512 has 54 divisors (see below), whose sum is σ = 21276811269. Its totient is φ = 4840202880.

The previous prime is 10229076467. The next prime is 10229076521. The reversal of 10229076512 is 21567092201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10079356816 + 149719696 = 100396^2 + 12236^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71516.

It is a super-2 number, since 2×102290765122 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10869962 + ... + 10870902.

Almost surely, 210229076512 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 10229076512

10229076512 is an abundant number, since it is smaller than the sum of its proper divisors (11047734757).

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

10229076512 is an frugal number, since it uses more digits than its factorization.

10229076512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 10229076512 in words is "ten billion, two hundred twenty-nine million, seventy-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 941 1444 1882 2888 3764 5776 7528 11552 15056 17879 30112 35758 71516 143032 286064 339701 572128 679402 885481 1358804 1770962 2717608 3541924 5435216 7083848 10870432 14167696 16824139 28335392 33648278 67296556 134593112 269186224 319658641 538372448 639317282 1278634564 2557269128 5114538256 10229076512