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106723695552 = 26319103439647
BaseRepresentation
bin110001101100100111…
…0100101101111000000
3101012110202110110120220
41203121032211233000
53222032231224202
6121010031103040
710465466305305
oct1433116455700
9335422413526
10106723695552
1141296820091
1218825671a80
13a0aa7c3116
1452460150ac
152b99675abc
hex18d93a5bc0

106723695552 has 224 divisors, whose sum is σ = 301269196800. Its totient is φ = 33247521792.

The previous prime is 106723695539. The next prime is 106723695601. The reversal of 106723695552 is 255596327601.

It is a super-2 number, since 2×1067236955522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106723695495 and 106723695504.

It is a congruent 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, 164951293 + ... + 164951939.

Almost surely, 2106723695552 is an apocalyptic number.

106723695552 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 106723695552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150634598400).

106723695552 is an abundant number, since it is smaller than the sum of its proper divisors (194545501248).

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

106723695552 is a wasteful number, since it uses less digits than its factorization.

106723695552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 106723695552 in words is "one hundred six billion, seven hundred twenty-three million, six hundred ninety-five thousand, five hundred fifty-two".