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1685370016 = 251135913337
BaseRepresentation
bin110010001110100…
…1011010010100000
311100110022200000201
41210131023102200
511422423320031
6435123154544
756523260131
oct14435132240
94313280021
101685370016
11795390490
123b0515a54
1320b226485
1411db97c88
159ce63d61
hex6474b4a0

1685370016 has 48 divisors (see below), whose sum is σ = 3630070080. Its totient is φ = 763886080.

The previous prime is 1685369989. The next prime is 1685370047. The reversal of 1685370016 is 6100735861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119700 + ... + 133036.

It is an arithmetic number, because the mean of its divisors is an integer number (75626460).

Almost surely, 21685370016 is an apocalyptic number.

1685370016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685370016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815035040).

1685370016 is an abundant number, since it is smaller than the sum of its proper divisors (1944700064).

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

1685370016 is a wasteful number, since it uses less digits than its factorization.

1685370016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1685370016 is about 41053.2582872541. The cubic root of 1685370016 is about 1190.0496686187.

The spelling of 1685370016 in words is "one billion, six hundred eighty-five million, three hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 359 718 1436 2872 3949 5744 7898 11488 13337 15796 26674 31592 53348 63184 106696 126368 146707 213392 293414 426784 586828 1173656 2347312 4694624 4787983 9575966 19151932 38303864 52667813 76607728 105335626 153215456 210671252 421342504 842685008 1685370016