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54805534464 = 283292531601
BaseRepresentation
bin110011000010101010…
…100001011100000000
312020110111021121121210
4303002222201130000
51344220204100324
641102144450120
73650063233212
oct630252413400
9166414247553
1054805534464
112127432823a
12a756319940
135225531445
14291ca505b2
15165b6d6d29
hexcc2aa1700

54805534464 has 216 divisors, whose sum is σ = 154012268592. Its totient is φ = 17294950400.

The previous prime is 54805534453. The next prime is 54805534489. The reversal of 54805534464 is 46443550845.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 34231264 + ... + 34232864.

It is an arithmetic number, because the mean of its divisors is an integer number (713019762).

Almost surely, 254805534464 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 54805534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77006134296).

54805534464 is an abundant number, since it is smaller than the sum of its proper divisors (99206734128).

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

54805534464 is a wasteful number, since it uses less digits than its factorization.

54805534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 54805534464 in words is "fifty-four billion, eight hundred five million, five hundred thirty-four thousand, four hundred sixty-four".