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869193317216 = 257231371231459
BaseRepresentation
bin11001010010111111111…
…01010111101101100000
310002002112120120110010002
430221133331113231200
5103220101442122331
61503145113155132
7116540264202560
oct14513775275540
93062476513102
10869193317216
11305693a71084
121205570bbaa8
1363c70241423
14300d7b92da0
1517922baa9cb
hexca5ff57b60

869193317216 has 96 divisors (see below), whose sum is σ = 2055612142080. Its totient is φ = 353714144256.

The previous prime is 869193317191. The next prime is 869193317221. The reversal of 869193317216 is 612713391968.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 90095 + ... + 1321553.

It is an arithmetic number, because the mean of its divisors is an integer number (21412626480).

Almost surely, 2869193317216 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 869193317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027806071040).

869193317216 is an abundant number, since it is smaller than the sum of its proper divisors (1186418824864).

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

869193317216 is a wasteful number, since it uses less digits than its factorization.

869193317216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231636 (or 1231628 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 56.

The spelling of 869193317216 in words is "eight hundred sixty-nine billion, one hundred ninety-three million, three hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 137 161 184 224 274 322 368 548 644 736 959 1096 1288 1918 2192 2576 3151 3836 4384 5152 6302 7672 12604 15344 22057 25208 30688 44114 50416 88228 100832 176456 352912 705824 1231459 2462918 4925836 8620213 9851672 17240426 19703344 28323557 34480852 39406688 56647114 68961704 113294228 137923408 168709883 198264899 226588456 275846816 337419766 396529798 453176912 674839532 793059596 906353824 1180969181 1349679064 1586119192 2361938362 2699358128 3172238384 3880327309 4723876724 5398716256 6344476768 7760654618 9447753448 15521309236 18895506896 27162291163 31042618472 37791013792 54324582326 62085236944 108649164652 124170473888 217298329304 434596658608 869193317216