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1071752930820 = 22325111361976719
BaseRepresentation
bin11111001100010010111…
…00111110011000000100
310210110101022012222101100
433212021130332120010
5120024422222241240
62140205000500100
7140301015413115
oct17461134763004
93713338188340
101071752930820
11383589652920
12153867a7a630
137a0b1932b60
1439c31ba220c
151cd2abd3e30
hexf98973e604

1071752930820 has 288 divisors, whose sum is σ = 3820522567680. Its totient is φ = 239758433280.

The previous prime is 1071752930813. The next prime is 1071752930821. The reversal of 1071752930820 is 280392571701.

1071752930820 is a `hidden beast` number, since 1 + 0 + 7 + 17 + 529 + 30 + 82 + 0 = 666.

1071752930820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10717529308202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1071752930821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159507421 + ... + 159514139.

It is an arithmetic number, because the mean of its divisors is an integer number (13265703360).

Almost surely, 21071752930820 is an apocalyptic number.

1071752930820 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 1071752930820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910261283840).

1071752930820 is an abundant number, since it is smaller than the sum of its proper divisors (2748769636860).

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

1071752930820 is a wasteful number, since it uses less digits than its factorization.

1071752930820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12955 (or 12950 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1071752930820 in words is "one trillion, seventy-one billion, seven hundred fifty-two million, nine hundred thirty thousand, eight hundred twenty".