| Base | Representation |
|---|---|
| bin | 10010111011010101… |
| … | …11000100000000000 |
| 3 | 222020011120111200220 |
| 4 | 21131222320200000 |
| 5 | 131302313112102 |
| 6 | 4400151143040 |
| 7 | 506544650340 |
| oct | 113552704000 |
| 9 | 28204514626 |
| 10 | 10161457152 |
| 11 | 4344972180 |
| 12 | 1b77074a80 |
| 13 | c5c29b252 |
| 14 | 6c5790d20 |
| 15 | 3e71521bc |
| hex | 25dab8800 |
10161457152 has 384 divisors, whose sum is σ = 34569400320. Its totient is φ = 2577530880.
The previous prime is 10161457121. The next prime is 10161457153. The reversal of 10161457152 is 25175416101.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×101614571522 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10161457153) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 22234908 + ... + 22235364.
It is an arithmetic number, because the mean of its divisors is an integer number (90024480).
Almost surely, 210161457152 is an apocalyptic number.
10161457152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10161457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284700160).
10161457152 is an abundant number, since it is smaller than the sum of its proper divisors (24407943168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10161457152 is a wasteful number, since it uses less digits than its factorization.
10161457152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 547 (or 527 counting only the distinct ones).
The product of its (nonzero) digits is 8400, while the sum is 33.
It can be divided in two parts, 101614 and 57152, that added together give a triangular number (158766 = T563).
The spelling of 10161457152 in words is "ten billion, one hundred sixty-one million, four hundred fifty-seven thousand, one hundred fifty-two".
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