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1123396189056 = 273217712233623
BaseRepresentation
bin10000010110001111101…
…000010111101110000000
310222101200102010022112100
4100112033220113232000
5121401203411022211
62220025303030400
7144106543024161
oct20261750275600
93871612108470
101123396189056
113a347a953129
1216187b13b400
1381c21c7321b
143c530847768
151e34e970156
hex1058fa17b80

1123396189056 has 384 divisors, whose sum is σ = 3487584522240. Its totient is φ = 345820446720.

The previous prime is 1123396188997. The next prime is 1123396189057. The reversal of 1123396189056 is 6509816933211.

1123396189056 is a `hidden beast` number, since 1 + 1 + 23 + 396 + 189 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11233961890562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123396188993 and 1123396189011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123396189057) 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, 310071661 + ... + 310075283.

It is an arithmetic number, because the mean of its divisors is an integer number (9082251360).

Almost surely, 21123396189056 is an apocalyptic number.

1123396189056 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 1123396189056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743792261120).

1123396189056 is an abundant number, since it is smaller than the sum of its proper divisors (2364188333184).

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

1123396189056 is a wasteful number, since it uses less digits than its factorization.

1123396189056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1123396189056 in words is "one trillion, one hundred twenty-three billion, three hundred ninety-six million, one hundred eighty-nine thousand, fifty-six".