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1029664796176 = 242536812
BaseRepresentation
bin11101111101111001100…
…11011110111000010000
310122102202002222012122201
432332330303132320100
5113332223141434201
62105004350012544
7134251024234162
oct16767463367020
93572662865581
101029664796176
11367750a30375
121476807a7154
1376135088383
1437b9c156932
151bbb5c2a801
hexefbccdee10

1029664796176 has 15 divisors (see below), whose sum is σ = 1994983406733. Its totient is φ = 514830368640.

The previous prime is 1029664796143. The next prime is 1029664796179. The reversal of 1029664796176 is 6716974669201.

The square root of 1029664796176 is 1014724.

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., 411491458576 + 618173337600 = 641476^2 + 786240^2 .

It is a super-4 number, since 4×10296647961764 (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1029664796179) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3932056 + ... + 4185736.

Almost surely, 21029664796176 is an apocalyptic number.

1029664796176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1029664796176 is the 1014724-th square number.

It is an amenable number.

1029664796176 is a deficient number, since it is larger than the sum of its proper divisors (965318610557).

1029664796176 is an frugal number, since it uses more digits than its factorization.

1029664796176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507370 (or 253683 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 64.

Multiplying 1029664796176 by its sum of digits (64), we get a square (65898546955264 = 81177922).

The spelling of 1029664796176 in words is "one trillion, twenty-nine billion, six hundred sixty-four million, seven hundred ninety-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 253681 507362 1014724 2029448 4058896 64354049761 128708099522 257416199044 514832398088 1029664796176