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1795342729216 = 21826172
BaseRepresentation
bin11010001000000010110…
…001000000000000000000
320100122002112002022000011
4122020002301000000000
5213403330214313331
63452434041234304
7243465160256101
oct32100261000000
96318075068004
101795342729216
11632445191173
1224bb48792994
131003b93c528a
1462c760443a8
1531a7ac513b1
hex1a202c40000

1795342729216 has 57 divisors (see below), whose sum is σ = 3592051193109. Its totient is φ = 897328349184.

The previous prime is 1795342729163. The next prime is 1795342729237. The reversal of 1795342729216 is 6129272435971.

The square root of 1795342729216 is 1339904.

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., 1751705190400 + 43637538816 = 1323520^2 + 208896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 686029540 + ... + 686032156.

Almost surely, 21795342729216 is an apocalyptic number.

1795342729216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1795342729216 is the 1339904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1795342729216

1795342729216 is an abundant number, since it is smaller than the sum of its proper divisors (1796708463893).

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

1795342729216 is an frugal number, since it uses more digits than its factorization.

1795342729216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 2619 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 58.

The spelling of 1795342729216 in words is "one trillion, seven hundred ninety-five billion, three hundred forty-two million, seven hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2617 4096 5234 8192 10468 16384 20936 32768 41872 65536 83744 131072 167488 262144 334976 669952 1339904 2679808 5359616 6848689 10719232 13697378 21438464 27394756 42876928 54789512 85753856 109579024 171507712 219158048 343015424 438316096 686030848 876632192 1753264384 3506528768 7013057536 14026115072 28052230144 56104460288 112208920576 224417841152 448835682304 897671364608 1795342729216