Search a number
-
+
10684246104 = 23327173181677
BaseRepresentation
bin10011111001101010…
…01010100001011000
31000120121021221022200
421330311022201120
5133340131333404
64524104250200
7525523410360
oct117465124130
930517257280
1010684246104
114592a84264
1220a2170960
1310136a201c
14734d999a0
15427ebc839
hex27cd4a858

10684246104 has 192 divisors, whose sum is σ = 33494610240. Its totient is φ = 3013770240.

The previous prime is 10684246087. The next prime is 10684246109. The reversal of 10684246104 is 40164248601.

It is a happy number.

10684246104 is a `hidden beast` number, since 10 + 6 + 8 + 4 + 24 + 610 + 4 = 666.

It is a super-2 number, since 2×106842461042 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684246109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15781414 + ... + 15782090.

It is an arithmetic number, because the mean of its divisors is an integer number (174451095).

Almost surely, 210684246104 is an apocalyptic number.

10684246104 is a gapful number since it is divisible by the number (14) 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 10684246104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747305120).

10684246104 is an abundant number, since it is smaller than the sum of its proper divisors (22810364136).

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

10684246104 is a wasteful number, since it uses less digits than its factorization.

10684246104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10684246104 in words is "ten billion, six hundred eighty-four million, two hundred forty-six thousand, one hundred four".