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54042825152 = 263775130389
BaseRepresentation
bin110010010101001101…
…000001000111000000
312011111100002222010202
4302111031001013000
51341134430401102
640454341144332
73622142302001
oct622515010700
9164440088122
1054042825152
1120a12847468
12a5829bb0a8
135133506b64
1428896311a8
151614778e02
hexc953411c0

54042825152 has 56 divisors (see below), whose sum is σ = 110289929280. Its totient is φ = 26255232000.

The previous prime is 54042825143. The next prime is 54042825157. The reversal of 54042825152 is 25152824045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54042825157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1763174 + ... + 1793562.

Almost surely, 254042825152 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 54042825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55144964640).

54042825152 is an abundant number, since it is smaller than the sum of its proper divisors (56247104128).

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

54042825152 is a wasteful number, since it uses less digits than its factorization.

54042825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31189 (or 31179 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

The spelling of 54042825152 in words is "fifty-four billion, forty-two million, eight hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 751 1184 1502 2368 3004 6008 12016 24032 27787 30389 48064 55574 60778 111148 121556 222296 243112 444592 486224 889184 972448 1124393 1778368 1944896 2248786 4497572 8995144 17990288 22822139 35980576 45644278 71961152 91288556 182577112 365154224 730308448 844419143 1460616896 1688838286 3377676572 6755353144 13510706288 27021412576 54042825152