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70682981200 = 24521389152729
BaseRepresentation
bin100000111010100001…
…0001011001101010000
320202110000111110221121
41001311002023031100
52124224320344300
652245445332024
75051406266326
oct1016502131520
9222400443847
1070682981200
1127a81777a47
1211847707014
136885aa8540
1435c75ddd16
151c8a57081a
hex107508b350

70682981200 has 120 divisors (see below), whose sum is σ = 184934647800. Its totient is φ = 25804922880.

The previous prime is 70682981167. The next prime is 70682981203. The reversal of 70682981200 is 218928607.

It can be written as a sum of positive squares in 12 ways, for example, as 56199340096 + 14483641104 = 237064^2 + 120348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70682981203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386436 + ... + 539164.

It is an arithmetic number, because the mean of its divisors is an integer number (1541122065).

Almost surely, 270682981200 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 70682981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92467323900).

70682981200 is an abundant number, since it is smaller than the sum of its proper divisors (114251666600).

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

70682981200 is a wasteful number, since it uses less digits than its factorization.

70682981200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152849 (or 152838 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 70682981200 in words is "seventy billion, six hundred eighty-two million, nine hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 89 100 104 130 178 200 208 260 325 356 400 445 520 650 712 890 1040 1157 1300 1424 1780 2225 2314 2600 3560 4450 4628 5200 5785 7120 8900 9256 11570 17800 18512 23140 28925 35600 46280 57850 92560 115700 152729 231400 305458 462800 610916 763645 1221832 1527290 1985477 2443664 3054580 3818225 3970954 6109160 7636450 7941908 9927385 12218320 13592881 15272900 15883816 19854770 27185762 30545800 31767632 39709540 49636925 54371524 61091600 67964405 79419080 99273850 108743048 135928810 158838160 176707453 198547700 217486096 271857620 339822025 353414906 397095400 543715240 679644050 706829812 794190800 883537265 1087430480 1359288100 1413659624 1767074530 2718576200 2827319248 3534149060 4417686325 5437152400 7068298120 8835372650 14136596240 17670745300 35341490600 70682981200