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106799217336 = 2336722316249
BaseRepresentation
bin110001101110110111…
…0101011101010111000
3101012200000120101000000
41203131232223222320
53222211044423321
6121021325513000
710500404240400
oct1433556535270
9335600511000
10106799217336
1141325412789
1218846a12760
13a0c0346076
145252073800
152ba10e2826
hex18ddbabab8

106799217336 has 336 divisors, whose sum is σ = 364460850000. Its totient is φ = 29185567488.

The previous prime is 106799217281. The next prime is 106799217337. The reversal of 106799217336 is 633712997601.

It is a happy number.

106799217336 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 99 + 217 + 336 = 666.

It is a super-2 number, since 2×1067992173362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106799217337) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6564540 + ... + 6580788.

Almost surely, 2106799217336 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 106799217336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182230425000).

106799217336 is an abundant number, since it is smaller than the sum of its proper divisors (257661632664).

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

106799217336 is a wasteful number, since it uses less digits than its factorization.

106799217336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16310 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 106799217336 in words is "one hundred six billion, seven hundred ninety-nine million, two hundred seventeen thousand, three hundred thirty-six".