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10520554040640 = 2632571941669901
BaseRepresentation
bin1001100100011000000111…
…1000101110110101000000
31101020202101111111102012100
42121012001320232311000
52334332043313300030
634213024212430400
72134041064601460
oct231060170566500
941222344442170
1010520554040640
113396818538466
12121ab54318400
135b41126a7607
142852aa059ba0
151339e5282360
hex99181e2ed40

10520554040640 has 672 divisors, whose sum is σ = 44594250704640. Its totient is φ = 2222567424000.

The previous prime is 10520554040603. The next prime is 10520554040657. The reversal of 10520554040640 is 4604045502501.

10520554040640 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 5 + 5 + 4 + 0 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105205540406402 (a number of 27 digits) contains 22 as substring.

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 = 10520554040595 and 10520554040604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15369690 + ... + 16039590.

It is an arithmetic number, because the mean of its divisors is an integer number (66360492120).

Almost surely, 210520554040640 is an apocalyptic number.

10520554040640 is a gapful number since it is divisible by the number (10) 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 10520554040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297125352320).

10520554040640 is an abundant number, since it is smaller than the sum of its proper divisors (34073696664000).

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

10520554040640 is a wasteful number, since it uses less digits than its factorization.

10520554040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669991 (or 669978 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 10520554040640 in words is "ten trillion, five hundred twenty billion, five hundred fifty-four million, forty thousand, six hundred forty".