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689111021012120 = 235726922134134257
BaseRepresentation
bin1001110010101111100010100…
…1100111100100010010011000
310100100221100222220011210101022
42130223320221213210102120
51210310343332334341440
610441341122133142012
7265102425335243210
oct23453705147442230
93310840886153338
10689111021012120
1118a632385301893
12653563ba78a908
1323768b764118b5
14c225219549240
1554a055bd5ccb5
hex272be299e4498

689111021012120 has 128 divisors (see below), whose sum is σ = 1779391258012800. Its totient is φ = 235281898070016.

The previous prime is 689111021012077. The next prime is 689111021012147. The reversal of 689111021012120 is 21210120111986.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164616032 + ... + 168750288.

It is an arithmetic number, because the mean of its divisors is an integer number (13901494203225).

Almost surely, 2689111021012120 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 689111021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889695629006400).

689111021012120 is an abundant number, since it is smaller than the sum of its proper divisors (1090280237000680).

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

689111021012120 is a wasteful number, since it uses less digits than its factorization.

689111021012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136757 (or 4136753 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 35.

The spelling of 689111021012120 in words is "six hundred eighty-nine trillion, one hundred eleven billion, twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 269 280 538 1076 1345 1883 2152 2213 2690 3766 4426 5380 7532 8852 9415 10760 11065 15064 15491 17704 18830 22130 30982 37660 44260 61964 75320 77455 88520 123928 154910 309820 595297 619640 1190594 2381188 2976485 4134257 4167079 4762376 5952970 8268514 8334158 11905940 16537028 16668316 20671285 20835395 23811880 28939799 33074056 33336632 41342570 41670790 57879598 82685140 83341580 115759196 144698995 165370280 166683160 231518392 289397990 578795980 1112115133 1157591960 2224230266 4448460532 5560575665 7784805931 8896921064 9149110741 11121151330 15569611862 18298221482 22242302660 31139223724 36596442964 38924029655 44484605320 45745553705 62278447448 64043775187 73192885928 77848059310 91491107410 128087550374 155696118620 182982214820 256175100748 311392237240 320218875935 365964429640 512350201496 640437751870 1280875503740 2461110789329 2561751007480 4922221578658 9844443157316 12305553946645 17227775525303 19688886314632 24611107893290 34455551050606 49222215786580 68911102101212 86138877626515 98444431573160 137822204202424 172277755253030 344555510506060 689111021012120