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1078264176025 = 522076792
BaseRepresentation
bin11111011000011011000…
…11011001110110011001
310211002012002021111122011
433230031203121312121
5120131241112113100
62143203035225521
7140621251162231
oct17541543316631
93732162244564
101078264176025
11386320020803
12154b845a82a1
137a8ab8c027a
143a28c852cc1
151d0ac656bba
hexfb0d8d9d99

1078264176025 has 9 divisors (see below), whose sum is σ = 1337054016351. Its totient is φ = 862607187240.

The previous prime is 1078264176023. The next prime is 1078264176043. The reversal of 1078264176025 is 5206714628701.

The square root of 1078264176025 is 1038395.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 388175103369 + 690089072656 = 623037^2 + 830716^2 .

It is not a de Polignac number, because 1078264176025 - 21 = 1078264176023 is a prime.

It is a super-3 number, since 3×10782641760253 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1078264176025.

It is not an unprimeable number, because it can be changed into a prime (1078264176023) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5088136 + ... + 5295814.

Almost surely, 21078264176025 is an apocalyptic number.

1078264176025 is the 1038395-th square number.

1078264176025 is the 519198-th centered octagonal number.

It is an amenable number.

1078264176025 is a deficient number, since it is larger than the sum of its proper divisors (258789840326).

1078264176025 is an frugal number, since it uses more digits than its factorization.

1078264176025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415368 (or 207684 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

Multiplying 1078264176025 by its sum of digits (49), we get a square (52834944625225 = 72687652).

The spelling of 1078264176025 in words is "one trillion, seventy-eight billion, two hundred sixty-four million, one hundred seventy-six thousand, twenty-five".

Divisors: 1 5 25 207679 1038395 5191975 43130567041 215652835205 1078264176025