Search a number
-
+
10114157856 = 2531129477027
BaseRepresentation
bin10010110101101100…
…11100110100100000
3222002212120110021010
421122312130310200
5131203211022411
64351341300520
7505431631455
oct113266346440
928085513233
1010114157856
1143201a6550
121b63264740
13c5254a1ba
146bd39b82c
153e2e0c7a6
hex25ad9cd20

10114157856 has 192 divisors, whose sum is σ = 30603847680. Its totient is φ = 2895836160.

The previous prime is 10114157849. The next prime is 10114157861. The reversal of 10114157856 is 65875141101.

It is a happy number.

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, 1435815 + ... + 1442841.

It is an arithmetic number, because the mean of its divisors is an integer number (159395040).

Almost surely, 210114157856 is an apocalyptic number.

10114157856 is a gapful number since it is divisible by the number (16) 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 10114157856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301923840).

10114157856 is an abundant number, since it is smaller than the sum of its proper divisors (20489689824).

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

10114157856 is a wasteful number, since it uses less digits than its factorization.

10114157856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 39.

Adding to 10114157856 its reverse (65875141101), we get a palindrome (75989298957).

The spelling of 10114157856 in words is "ten billion, one hundred fourteen million, one hundred fifty-seven thousand, eight hundred fifty-six".