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169055834896 = 2413279072
BaseRepresentation
bin1001110101110010000…
…0110101001100010000
3121011100210101020002101
42131130200311030100
510232211243204041
6205355125130144
715133234613134
oct2353440651420
9534323336071
10169055834896
116577267aa33
1228920559954
1312c32469100
14827a5013c4
1545e69e7b31
hex275c835310

169055834896 has 45 divisors (see below), whose sum is σ = 354724503861. Its totient is φ = 78015902016.

The previous prime is 169055834867. The next prime is 169055834929. The reversal of 169055834896 is 698438550961.

The square root of 169055834896 is 411164.

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., 25008259600 + 144047575296 = 158140^2 + 379536^2 .

It is a super-2 number, since 2×1690558348962 (a number of 23 digits) contains 22 as substring.

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, 21376575 + ... + 21384481.

Almost surely, 2169055834896 is an apocalyptic number.

169055834896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

169055834896 is the 411164-th square number.

It is an amenable number.

169055834896 is an abundant number, since it is smaller than the sum of its proper divisors (185668668965).

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

169055834896 is an frugal number, since it uses more digits than its factorization.

169055834896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15848 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 64.

Multiplying 169055834896 by its sum of digits (64), we get a square (10819573433344 = 32893122).

The spelling of 169055834896 in words is "one hundred sixty-nine billion, fifty-five million, eight hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 7907 15814 31628 63256 102791 126512 205582 411164 822328 1336283 1644656 2672566 5345132 10690264 21380528 62520649 125041298 250082596 500165192 812768437 1000330384 1625536874 3251073748 6502147496 10565989681 13004294992 21131979362 42263958724 84527917448 169055834896