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1054860712752 = 243731117333361
BaseRepresentation
bin11110101100110101001…
…10010001101100110000
310201211210001112101111010
433112122212101230300
5114240323320302002
62124332445550520
7136132301055000
oct17263246215460
93654701471433
101054860712752
11377400410420
12150532875440
137861c079352
14390ac53c000
151c68cbec46c
hexf59a991b30

1054860712752 has 320 divisors, whose sum is σ = 3469842201600. Its totient is φ = 273750220800.

The previous prime is 1054860712733. The next prime is 1054860712849. The reversal of 1054860712752 is 2572170684501.

1054860712752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10548607127522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313851552 + ... + 313854912.

It is an arithmetic number, because the mean of its divisors is an integer number (10843256880).

Almost surely, 21054860712752 is an apocalyptic number.

1054860712752 is a gapful number since it is divisible by the number (12) 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 1054860712752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734921100800).

1054860712752 is an abundant number, since it is smaller than the sum of its proper divisors (2414981488848).

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

1054860712752 is a wasteful number, since it uses less digits than its factorization.

1054860712752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 1054860712752 in words is "one trillion, fifty-four billion, eight hundred sixty million, seven hundred twelve thousand, seven hundred fifty-two".