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1699402144 = 251117319161
BaseRepresentation
bin110010101001010…
…1101000110100000
311101102201120111011
41211102231012200
511440021332034
6440344030304
760053452126
oct14522550640
94342646434
101699402144
117a22a4a90
123b5162394
132110ca3cb
141219ab916
159e2d6864
hex654ad1a0

1699402144 has 96 divisors (see below), whose sum is σ = 3989647872. Its totient is φ = 703488000.

The previous prime is 1699402139. The next prime is 1699402147. The reversal of 1699402144 is 4412049961.

It is a junction number, because it is equal to n+sod(n) for n = 1699402097 and 1699402106.

It is not an unprimeable number, because it can be changed into a prime (1699402147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180924 + ... + 190084.

It is an arithmetic number, because the mean of its divisors is an integer number (41558832).

Almost surely, 21699402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1699402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994823936).

1699402144 is an abundant number, since it is smaller than the sum of its proper divisors (2290245728).

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

1699402144 is a wasteful number, since it uses less digits than its factorization.

1699402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1699402144 is about 41223.8055497063. The cubic root of 1699402144 is about 1193.3432674669.

The spelling of 1699402144 in words is "one billion, six hundred ninety-nine million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 44 62 68 88 124 136 176 187 248 272 341 352 374 496 527 544 682 748 992 1054 1364 1496 2108 2728 2992 4216 5456 5797 5984 8432 9161 10912 11594 16864 18322 23188 36644 46376 73288 92752 100771 146576 155737 185504 201542 283991 293152 311474 403084 567982 622948 806168 1135964 1245896 1612336 1713107 2271928 2491792 3123901 3224672 3426214 4543856 4827847 4983584 6247802 6852428 9087712 9655694 12495604 13704856 19311388 24991208 27409712 38622776 49982416 53106317 54819424 77245552 99964832 106212634 154491104 212425268 424850536 849701072 1699402144