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54923973120 = 2932510722279
BaseRepresentation
bin110011001001101110…
…010101001000000000
312020202202010220220200
4303021232111020000
51344441014114440
641122015205200
73653032032342
oct631156251000
9166682126820
1054923973120
1121325172a25
12a789b16800
135243c2c7a3
142930681292
151666ccec30
hexcc9b95200

54923973120 has 240 divisors, whose sum is σ = 192003514560. Its totient is φ = 14508859392.

The previous prime is 54923973109. The next prime is 54923973121. The reversal of 54923973120 is 2137932945.

54923973120 is a `hidden beast` number, since 5 + 492 + 39 + 7 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54923973121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2454141 + ... + 2476419.

It is an arithmetic number, because the mean of its divisors is an integer number (800014644).

Almost surely, 254923973120 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 54923973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96001757280).

54923973120 is an abundant number, since it is smaller than the sum of its proper divisors (137079541440).

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

54923973120 is a wasteful number, since it uses less digits than its factorization.

54923973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22415 (or 22396 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 54923973120 in words is "fifty-four billion, nine hundred twenty-three million, nine hundred seventy-three thousand, one hundred twenty".