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54072291840 = 293572143687
BaseRepresentation
bin110010010110111101…
…011011001000000000
312011120101120000211120
4302112331123020000
51341220001314330
640501312512240
73622650616500
oct622675331000
9164511500746
1054072291840
1120a284431a6
12a59084b680
135139653178
14288d501a00
151617149c10
hexc96f5b200

54072291840 has 240 divisors, whose sum is σ = 201086183232. Its totient is φ = 12359294976.

The previous prime is 54072291839. The next prime is 54072291859. The reversal of 54072291840 is 4819227045.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 54072291792 and 54072291801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304477 + ... + 448163.

Almost surely, 254072291840 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 54072291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100543091616).

54072291840 is an abundant number, since it is smaller than the sum of its proper divisors (147013891392).

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

54072291840 is a wasteful number, since it uses less digits than its factorization.

54072291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143727 (or 143704 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 54072291840 in words is "fifty-four billion, seventy-two million, two hundred ninety-one thousand, eight hundred forty".