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54975023040 = 26357311631619
BaseRepresentation
bin110011001100110001…
…000100011111000000
312020220022012112020110
4303030301010133000
51400042101214130
641131041311320
73654221662050
oct631461043700
9166808175213
1054975023040
1121350a70543
12a7a3035540
135251694a42
14293736d560
15166b515ab0
hexcccc447c0

54975023040 has 448 divisors, whose sum is σ = 207306915840. Its totient is φ = 12078305280.

The previous prime is 54975023017. The next prime is 54975023053. The reversal of 54975023040 is 4032057945.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 54975023040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33955351 + ... + 33956969.

Almost surely, 254975023040 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 54975023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103653457920).

54975023040 is an abundant number, since it is smaller than the sum of its proper divisors (152331892800).

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

54975023040 is a wasteful number, since it uses less digits than its factorization.

54975023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 54975023040 in words is "fifty-four billion, nine hundred seventy-five million, twenty-three thousand, forty".