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869969968 = 24717521877
BaseRepresentation
bin110011110110101…
…011000000110000
32020122000001102221
4303312223000300
53240203014333
6222154250424
730362423410
oct6366530060
92218001387
10869969968
1140709134a
12203426a14
1310b310b3a
1483780640
1551598d2d
hex33dab030

869969968 has 80 divisors (see below), whose sum is σ = 2045922624. Its totient is φ = 349839360.

The previous prime is 869969923. The next prime is 869969987.

869969968 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 869969897 and 869969906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991546 + ... + 992422.

Almost surely, 2869969968 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 869969968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022961312).

869969968 is an abundant number, since it is smaller than the sum of its proper divisors (1175952656).

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

869969968 is a wasteful number, since it uses less digits than its factorization.

869969968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1424 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 70.

The square root of 869969968 is about 29495.2533130333. The cubic root of 869969968 is about 954.6292862285.

The spelling of 869969968 in words is "eight hundred sixty-nine million, nine hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 521 877 952 1042 1754 1904 2084 3508 3647 4168 6139 7016 7294 8336 8857 12278 14032 14588 14909 17714 24556 29176 29818 35428 49112 58352 59636 61999 70856 98224 104363 119272 123998 141712 208726 238544 247996 417452 456917 495992 834904 913834 991984 1669808 1827668 3198419 3655336 6396838 7310672 7767589 12793676 15535178 25587352 31070356 51174704 54373123 62140712 108746246 124281424 217492492 434984984 869969968