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54932734080 = 2732573171619
BaseRepresentation
bin110011001010001111…
…110000000010000000
312020210100122000200200
4303022033300002000
51400000234442310
641122531045200
73653166351450
oct631217600200
9166710560620
1054932734080
112132a107194
12a790a40800
1352459a93a3
1429318c1d60
1516679609c0
hexcca3f0080

54932734080 has 768 divisors, whose sum is σ = 227299737600. Its totient is φ = 11960524800.

The previous prime is 54932734067. The next prime is 54932734123. The reversal of 54932734080 is 8043723945.

54932734080 is a `hidden beast` number, since 549 + 3 + 27 + 3 + 4 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 88744011 + ... + 88744629.

It is an arithmetic number, because the mean of its divisors is an integer number (295963200).

Almost surely, 254932734080 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 54932734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113649868800).

54932734080 is an abundant number, since it is smaller than the sum of its proper divisors (172367003520).

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

54932734080 is a wasteful number, since it uses less digits than its factorization.

54932734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 54932734080 in words is "fifty-four billion, nine hundred thirty-two million, seven hundred thirty-four thousand, eighty".