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1069106368576 = 2630724212
BaseRepresentation
bin11111000111010111011…
…01001001000001000000
310210012112212020200111111
433203223231021001000
5120004012212243301
62135050215453104
7140145311123161
oct17435355110100
93705485220444
101069106368576
113824507454a4
12153249687194
1379a7c5394ac
1439a604bd768
151cc236a7551
hexf8ebb49040

1069106368576 has 63 divisors (see below), whose sum is σ = 2133508596957. Its totient is φ = 531546382080.

The previous prime is 1069106368559. The next prime is 1069106368597. The reversal of 1069106368576 is 6758636019601.

The square root of 1069106368576 is 1033976.

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., 5072858176 + 1064033510400 = 71224^2 + 1031520^2 .

It is a super-2 number, since 2×10691063685762 (a number of 25 digits) contains 22 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 1069106368576.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2539444846 + ... + 2539445266.

Almost surely, 21069106368576 is an apocalyptic number.

1069106368576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1069106368576 is the 1033976-th square number.

It is an amenable number.

1069106368576 is a deficient number, since it is larger than the sum of its proper divisors (1064402228381).

1069106368576 is an frugal number, since it uses more digits than its factorization.

1069106368576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 1069106368576 in words is "one trillion, sixty-nine billion, one hundred six million, three hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 307 421 614 842 1228 1684 2456 3368 4912 6736 9824 13472 19648 26944 94249 129247 177241 188498 258494 354482 376996 516988 708964 753992 1033976 1417928 1507984 2067952 2835856 3015968 4135904 5671712 6031936 8271808 11343424 39678829 54412987 79357658 108825974 158715316 217651948 317430632 435303896 634861264 870607792 1269722528 1741215584 2539445056 3482431168 16704787009 33409574018 66819148036 133638296072 267276592144 534553184288 1069106368576