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10084544607544 = 231132234247011
BaseRepresentation
bin1001001010111111110110…
…1100101111010100111000
31022201001222020211022101021
42102233331230233110320
52310211121404420134
633240435325232224
72060404262554501
oct222577554572470
938631866738337
1010084544607544
113238916589000
12116a551702674
13581c78984914
1426c1476a5ba8
151274c73b20b4
hex92bfdb2f538

10084544607544 has 64 divisors (see below), whose sum is σ = 20891221908480. Its totient is φ = 4563327304800.

The previous prime is 10084544607541. The next prime is 10084544607589. The reversal of 10084544607544 is 44570644548001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10084544607491 and 10084544607500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084544607541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250999 + ... + 4498009.

It is an arithmetic number, because the mean of its divisors is an integer number (326425342320).

Almost surely, 210084544607544 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 10084544607544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445610954240).

10084544607544 is an abundant number, since it is smaller than the sum of its proper divisors (10806677300936).

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

10084544607544 is a wasteful number, since it uses less digits than its factorization.

10084544607544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247273 (or 4247247 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 52.

The spelling of 10084544607544 in words is "ten trillion, eighty-four billion, five hundred forty-four million, six hundred seven thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 223 242 446 484 892 968 1331 1784 2453 2662 4906 5324 9812 10648 19624 26983 53966 107932 215864 296813 593626 1187252 2374504 4247011 8494022 16988044 33976088 46717121 93434242 186868484 373736968 513888331 947083453 1027776662 1894166906 2055553324 3788333812 4111106648 5652771641 7576667624 10417917983 11305543282 20835835966 22611086564 41671671932 45222173128 83343343864 114597097813 229194195626 458388391252 916776782504 1260568075943 2521136151886 5042272303772 10084544607544