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55012515444 = 22334759183691
BaseRepresentation
bin110011001111000000…
…000101111001110100
312020222220202100011000
4303033000011321310
51400131200443234
641134501043300
73655155444255
oct631700057164
9166886670130
1055012515444
11213701490a7
12a7b36b6530
1352593910b3
14293c32cb2c
15166e96e899
hexccf005e74

55012515444 has 96 divisors (see below), whose sum is σ = 148129228800. Its totient is φ = 17643057120.

The previous prime is 55012515413. The next prime is 55012515449. The reversal of 55012515444 is 44451521055.

55012515444 is a `hidden beast` number, since 5 + 50 + 12 + 51 + 544 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55012515399 and 55012515408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55012515449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 207639 + ... + 391329.

It is an arithmetic number, because the mean of its divisors is an integer number (1543012800).

Almost surely, 255012515444 is an apocalyptic number.

55012515444 is a gapful number since it is divisible by the number (54) 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 55012515444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74064614400).

55012515444 is an abundant number, since it is smaller than the sum of its proper divisors (93116713356).

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

55012515444 is a wasteful number, since it uses less digits than its factorization.

55012515444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183810 (or 183802 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 55012515444 in words is "fifty-five billion, twelve million, five hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 59 94 108 118 141 177 188 236 282 354 423 531 564 708 846 1062 1269 1593 1692 2124 2538 2773 3186 5076 5546 6372 8319 11092 16638 24957 33276 49914 74871 99828 149742 183691 299484 367382 551073 734764 1102146 1653219 2204292 3306438 4959657 6612876 8633477 9919314 10837769 17266954 19838628 21675538 25900431 32513307 34533908 43351076 51800862 65026614 77701293 97539921 103601724 130053228 155402586 195079842 233103879 292619763 310805172 390159684 466207758 509375143 585239526 932415516 1018750286 1170479052 1528125429 2037500572 3056250858 4584376287 6112501716 9168752574 13753128861 18337505148 27506257722 55012515444