Base | Representation |
---|---|
bin | 10011111101100010… |
… | …11101110110101000 |
3 | 1000122212121102121000 |
4 | 21332301131312220 |
5 | 133422002044034 |
6 | 4531230515000 |
7 | 526400363445 |
oct | 117661356650 |
9 | 30585542530 |
10 | 10716831144 |
11 | 45aa40a948 |
12 | 20b1065a60 |
13 | 101a370806 |
14 | 73943c9cc |
15 | 42aca7599 |
hex | 27ec5dda8 |
10716831144 has 128 divisors (see below), whose sum is σ = 31562784000. Its totient is φ = 3357591552.
The previous prime is 10716831131. The next prime is 10716831157. The reversal of 10716831144 is 44113861701.
It is an interprime number because it is at equal distance from previous prime (10716831131) and next prime (10716831157).
It is a super-2 number, since 2×107168311442 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10716831099 and 10716831108.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3608092 + ... + 3611060.
It is an arithmetic number, because the mean of its divisors is an integer number (246584250).
Almost surely, 210716831144 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 10716831144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781392000).
10716831144 is an abundant number, since it is smaller than the sum of its proper divisors (20845952856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10716831144 is a wasteful number, since it uses less digits than its factorization.
10716831144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3984 (or 3974 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The spelling of 10716831144 in words is "ten billion, seven hundred sixteen million, eight hundred thirty-one thousand, one hundred forty-four".
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