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54323511704704 = 2711173231073191
BaseRepresentation
bin11000101101000001011011…
…00111100011110010000000
321010100021110221012100022001
430112200231213203302000
524110014022444022304
6311311513213553344
714304513155512624
oct1426405547436200
9233307427170261
1054323511704704
1116344521167770
1261143161a5854
1324408ba42bcc8
14d5b3b44d9184
1564312c4b4da4
hex31682d9e3c80

54323511704704 has 512 divisors, whose sum is σ = 132156889804800. Its totient is φ = 22014915788800.

The previous prime is 54323511704669. The next prime is 54323511704711. The reversal of 54323511704704 is 40740711532345.

It is a super-2 number, since 2×543235117047042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 17023975749 + ... + 17023978939.

It is an arithmetic number, because the mean of its divisors is an integer number (258118925400).

Almost surely, 254323511704704 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 54323511704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66078444902400).

54323511704704 is an abundant number, since it is smaller than the sum of its proper divisors (77833378100096).

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

54323511704704 is a wasteful number, since it uses less digits than its factorization.

54323511704704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 54323511704704 in words is "fifty-four trillion, three hundred twenty-three billion, five hundred eleven million, seven hundred four thousand, seven hundred four".