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923138850816 = 2163573132
BaseRepresentation
bin11010110111011110101…
…11010000000000000000
310021020210010121111100000
431123233113100000000
5110111042021211231
61544030101200000
7123460145523000
oct15335727200000
93236703544300
10923138850816
113265568a69a6
1212aab1400000
1369089542500
14329744da000
151902db176e6
hexd6ef5d0000

923138850816 has 1224 divisors, whose sum is σ = 3492360580800. Its totient is φ = 243465191424.

The previous prime is 923138850787. The next prime is 923138850839. The reversal of 923138850816 is 618058831329.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

923138850816 is a `hidden beast` number, since 92 + 3 + 1 + 38 + 8 + 508 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71010680826 + ... + 71010680838.

Almost surely, 2923138850816 is an apocalyptic number.

923138850816 is a gapful number since it is divisible by the number (96) 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 923138850816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746180290400).

923138850816 is an abundant number, since it is smaller than the sum of its proper divisors (2569221729984).

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

923138850816 is an frugal number, since it uses more digits than its factorization.

923138850816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 923138850816 in words is "nine hundred twenty-three billion, one hundred thirty-eight million, eight hundred fifty thousand, eight hundred sixteen".