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10504245311040 = 2635133734765557
BaseRepresentation
bin1001100011011011010111…
…0011110111011001000000
31101012012021220202010000010
42120312311303313121000
52334100143244423130
634201330024024520
72132622663643035
oct230666563673100
941165256663003
1010504245311040
11338a9096a6538
121217962602140
135b2713988060
142845a00c138c
1513338d6060b0
hex98db5cf7640

10504245311040 has 448 divisors, whose sum is σ = 36994020666624. Its totient is φ = 2508489326592.

The previous prime is 10504245310997. The next prime is 10504245311069. The reversal of 10504245311040 is 4011354240501.

It is a super-2 number, since 2×105042453110402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10504245310989 and 10504245311007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160197942 + ... + 160263498.

It is an arithmetic number, because the mean of its divisors is an integer number (82575938988).

Almost surely, 210504245311040 is an apocalyptic number.

10504245311040 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 10504245311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497010333312).

10504245311040 is an abundant number, since it is smaller than the sum of its proper divisors (26489775355584).

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

10504245311040 is a wasteful number, since it uses less digits than its factorization.

10504245311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65974 (or 65964 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10504245311040 its reverse (4011354240501), we get a palindrome (14515599551541).

The spelling of 10504245311040 in words is "ten trillion, five hundred four billion, two hundred forty-five million, three hundred eleven thousand, forty".