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54255441032 = 231319131209597
BaseRepresentation
bin110010100001111000…
…000101010010001000
312012001011011222021222
4302201320011102020
51342103343103112
640531414221212
73630333432242
oct624170052210
9165034158258
1054255441032
1121011866971
12a622054808
13516858a580
1428a9979092
151628276372
hexca1e05488

54255441032 has 64 divisors (see below), whose sum is σ = 116201131200. Its totient is φ = 23541822720.

The previous prime is 54255441007. The next prime is 54255441041. The reversal of 54255441032 is 23014455245.

It is a junction number, because it is equal to n+sod(n) for n = 54255440983 and 54255441001.

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 15 ways as a sum of consecutive naturals, for example, 154058 + ... + 363654.

It is an arithmetic number, because the mean of its divisors is an integer number (1815642675).

Almost surely, 254255441032 is an apocalyptic number.

54255441032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54255441032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58100565600).

54255441032 is an abundant number, since it is smaller than the sum of its proper divisors (61945690168).

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

54255441032 is a wasteful number, since it uses less digits than its factorization.

54255441032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209766 (or 209762 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 54255441032 its reverse (23014455245), we get a palindrome (77269896277).

The spelling of 54255441032 in words is "fifty-four billion, two hundred fifty-five million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 131 152 247 262 494 524 988 1048 1703 1976 2489 3406 4978 6812 9956 13624 19912 32357 64714 129428 209597 258856 419194 838388 1676776 2724761 3982343 5449522 7964686 10899044 15929372 21798088 27457207 31858744 51770459 54914414 103540918 109828828 207081836 219657656 356943691 414163672 521686933 713887382 1043373866 1427774764 2086747732 2855549528 4173495464 6781930129 13563860258 27127720516 54255441032