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53655140440 = 235111959181601
BaseRepresentation
bin110001111110000110…
…000111100001011000
312010111022121112200201
4301332012013201120
51334341203443230
640352051511544
73606424111606
oct617606074130
9163438545621
1053655140440
1120833a23180
12a494bb85b4
1350a10b7c15
14284dd54876
1515e06e95ca
hexc7e187858

53655140440 has 256 divisors, whose sum is σ = 141994944000. Its totient is φ = 18040320000.

The previous prime is 53655140419. The next prime is 53655140471. The reversal of 53655140440 is 4404155635.

It is a super-2 number, since 2×536551404402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53655140440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89276140 + ... + 89276740.

It is an arithmetic number, because the mean of its divisors is an integer number (554667750).

Almost surely, 253655140440 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 53655140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70997472000).

53655140440 is an abundant number, since it is smaller than the sum of its proper divisors (88339803560).

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

53655140440 is a wasteful number, since it uses less digits than its factorization.

53655140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 53655140440 in words is "fifty-three billion, six hundred fifty-five million, one hundred forty thousand, four hundred forty".